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Simplifying -6x + 6 + -4(x + -1) = -1(5x + -4) + -4x + 4 Reorder the terms: -6x + 6 + -4(-1 + x) = -1(5x + -4) + -4x + 4 -6x + 6 + (-1 * -4 + x * -4) = -1(5x + -4) + -4x + 4 -6x + 6 + (4 + -4x) = -1(5x + -4) + -4x + 4 Reorder the terms: 6 + 4 + -6x + -4x = -1(5x + -4) + -4x + 4 Combine like terms: 6 + 4 = 10 10 + -6x + -4x = -1(5x + -4) + -4x + 4 Combine like terms: -6x + -4x = -10x 10 + -10x = -1(5x + -4) + -4x + 4 Reorder the terms: 10 + -10x = -1(-4 + 5x) + -4x + 4 10 + -10x = (-4 * -1 + 5x * -1) + -4x + 4 10 + -10x = (4 + -5x) + -4x + 4 Reorder the terms: 10 + -10x = 4 + 4 + -5x + -4x Combine like terms: 4 + 4 = 8 10 + -10x = 8 + -5x + -4x Combine like terms: -5x + -4x = -9x 10 + -10x = 8 + -9x Solving 10 + -10x = 8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + -10x + 9x = 8 + -9x + 9x Combine like terms: -10x + 9x = -1x 10 + -1x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + -1x = 8 + 0 10 + -1x = 8 Add '-10' to each side of the equation. 10 + -10 + -1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 8 + -10 -1x = 8 + -10 Combine like terms: 8 + -10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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