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Simplifying 4(x + -1) = 2(5x + -8) Reorder the terms: 4(-1 + x) = 2(5x + -8) (-1 * 4 + x * 4) = 2(5x + -8) (-4 + 4x) = 2(5x + -8) Reorder the terms: -4 + 4x = 2(-8 + 5x) -4 + 4x = (-8 * 2 + 5x * 2) -4 + 4x = (-16 + 10x) Solving -4 + 4x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 4x + -10x = -16 + 10x + -10x Combine like terms: 4x + -10x = -6x -4 + -6x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -6x = -16 + 0 -4 + -6x = -16 Add '4' to each side of the equation. -4 + 4 + -6x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -16 + 4 -6x = -16 + 4 Combine like terms: -16 + 4 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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