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Simplifying x + -1(5 + -3x) = 7x + -1(x + -3) + -8 x + (5 * -1 + -3x * -1) = 7x + -1(x + -3) + -8 x + (-5 + 3x) = 7x + -1(x + -3) + -8 Reorder the terms: -5 + x + 3x = 7x + -1(x + -3) + -8 Combine like terms: x + 3x = 4x -5 + 4x = 7x + -1(x + -3) + -8 Reorder the terms: -5 + 4x = 7x + -1(-3 + x) + -8 -5 + 4x = 7x + (-3 * -1 + x * -1) + -8 -5 + 4x = 7x + (3 + -1x) + -8 Reorder the terms: -5 + 4x = 3 + -8 + 7x + -1x Combine like terms: 3 + -8 = -5 -5 + 4x = -5 + 7x + -1x Combine like terms: 7x + -1x = 6x -5 + 4x = -5 + 6x Add '5' to each side of the equation. -5 + 5 + 4x = -5 + 5 + 6x Combine like terms: -5 + 5 = 0 0 + 4x = -5 + 5 + 6x 4x = -5 + 5 + 6x Combine like terms: -5 + 5 = 0 4x = 0 + 6x 4x = 6x Solving 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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