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Simplifying 5(x + -1) = 7x + 5 + -2(-4x + -4) Reorder the terms: 5(-1 + x) = 7x + 5 + -2(-4x + -4) (-1 * 5 + x * 5) = 7x + 5 + -2(-4x + -4) (-5 + 5x) = 7x + 5 + -2(-4x + -4) Reorder the terms: -5 + 5x = 7x + 5 + -2(-4 + -4x) -5 + 5x = 7x + 5 + (-4 * -2 + -4x * -2) -5 + 5x = 7x + 5 + (8 + 8x) Reorder the terms: -5 + 5x = 5 + 8 + 7x + 8x Combine like terms: 5 + 8 = 13 -5 + 5x = 13 + 7x + 8x Combine like terms: 7x + 8x = 15x -5 + 5x = 13 + 15x Solving -5 + 5x = 13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 5x + -15x = 13 + 15x + -15x Combine like terms: 5x + -15x = -10x -5 + -10x = 13 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -10x = 13 + 0 -5 + -10x = 13 Add '5' to each side of the equation. -5 + 5 + -10x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 13 + 5 -10x = 13 + 5 Combine like terms: 13 + 5 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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