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Simplifying -8(x + 2) = -5x + 3(5 + 4x) Reorder the terms: -8(2 + x) = -5x + 3(5 + 4x) (2 * -8 + x * -8) = -5x + 3(5 + 4x) (-16 + -8x) = -5x + 3(5 + 4x) -16 + -8x = -5x + (5 * 3 + 4x * 3) -16 + -8x = -5x + (15 + 12x) Reorder the terms: -16 + -8x = 15 + -5x + 12x Combine like terms: -5x + 12x = 7x -16 + -8x = 15 + 7x Solving -16 + -8x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + -8x + -7x = 15 + 7x + -7x Combine like terms: -8x + -7x = -15x -16 + -15x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -15x = 15 + 0 -16 + -15x = 15 Add '16' to each side of the equation. -16 + 16 + -15x = 15 + 16 Combine like terms: -16 + 16 = 0 0 + -15x = 15 + 16 -15x = 15 + 16 Combine like terms: 15 + 16 = 31 -15x = 31 Divide each side by '-15'. x = -2.066666667 Simplifying x = -2.066666667
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