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Simplifying -1(15x + (30 + (x + 10))) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Reorder the terms: -1(15x + (30 + (10 + x))) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Remove parenthesis around (10 + x) -1(15x + (30 + 10 + x)) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Combine like terms: 30 + 10 = 40 -1(15x + (40 + x)) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Remove parenthesis around (40 + x) -1(15x + 40 + x) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Reorder the terms: -1(40 + 15x + x) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Combine like terms: 15x + x = 16x -1(40 + 16x) = -5x + (-3x + -1(-1x + (6 + x)) + -2) (40 * -1 + 16x * -1) = -5x + (-3x + -1(-1x + (6 + x)) + -2) (-40 + -16x) = -5x + (-3x + -1(-1x + (6 + x)) + -2) Remove parenthesis around (6 + x) -40 + -16x = -5x + (-3x + -1(-1x + 6 + x) + -2) Reorder the terms: -40 + -16x = -5x + (-3x + -1(6 + -1x + x) + -2) Combine like terms: -1x + x = 0 -40 + -16x = -5x + (-3x + -1(6 + 0) + -2) -40 + -16x = -5x + (-3x + -1(6) + -2) Multiply -1 * 6 -40 + -16x = -5x + (-3x + -6 + -2) Reorder the terms: -40 + -16x = -5x + (-6 + -2 + -3x) Combine like terms: -6 + -2 = -8 -40 + -16x = -5x + (-8 + -3x) Remove parenthesis around (-8 + -3x) -40 + -16x = -5x + -8 + -3x Reorder the terms: -40 + -16x = -8 + -5x + -3x Combine like terms: -5x + -3x = -8x -40 + -16x = -8 + -8x Solving -40 + -16x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + -16x + 8x = -8 + -8x + 8x Combine like terms: -16x + 8x = -8x -40 + -8x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + -8x = -8 + 0 -40 + -8x = -8 Add '40' to each side of the equation. -40 + 40 + -8x = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = -8 + 40 -8x = -8 + 40 Combine like terms: -8 + 40 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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