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Simplifying -6x + 6 + -3(x + -1) = -1(5x + 4) + -3x + 3 Reorder the terms: -6x + 6 + -3(-1 + x) = -1(5x + 4) + -3x + 3 -6x + 6 + (-1 * -3 + x * -3) = -1(5x + 4) + -3x + 3 -6x + 6 + (3 + -3x) = -1(5x + 4) + -3x + 3 Reorder the terms: 6 + 3 + -6x + -3x = -1(5x + 4) + -3x + 3 Combine like terms: 6 + 3 = 9 9 + -6x + -3x = -1(5x + 4) + -3x + 3 Combine like terms: -6x + -3x = -9x 9 + -9x = -1(5x + 4) + -3x + 3 Reorder the terms: 9 + -9x = -1(4 + 5x) + -3x + 3 9 + -9x = (4 * -1 + 5x * -1) + -3x + 3 9 + -9x = (-4 + -5x) + -3x + 3 Reorder the terms: 9 + -9x = -4 + 3 + -5x + -3x Combine like terms: -4 + 3 = -1 9 + -9x = -1 + -5x + -3x Combine like terms: -5x + -3x = -8x 9 + -9x = -1 + -8x Solving 9 + -9x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + -9x + 8x = -1 + -8x + 8x Combine like terms: -9x + 8x = -1x 9 + -1x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + -1x = -1 + 0 9 + -1x = -1 Add '-9' to each side of the equation. 9 + -9 + -1x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -1 + -9 -1x = -1 + -9 Combine like terms: -1 + -9 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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