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Simplifying -5x + 6 + -3(x + -1) = -1(4x + -3) + -3x + 3 Reorder the terms: -5x + 6 + -3(-1 + x) = -1(4x + -3) + -3x + 3 -5x + 6 + (-1 * -3 + x * -3) = -1(4x + -3) + -3x + 3 -5x + 6 + (3 + -3x) = -1(4x + -3) + -3x + 3 Reorder the terms: 6 + 3 + -5x + -3x = -1(4x + -3) + -3x + 3 Combine like terms: 6 + 3 = 9 9 + -5x + -3x = -1(4x + -3) + -3x + 3 Combine like terms: -5x + -3x = -8x 9 + -8x = -1(4x + -3) + -3x + 3 Reorder the terms: 9 + -8x = -1(-3 + 4x) + -3x + 3 9 + -8x = (-3 * -1 + 4x * -1) + -3x + 3 9 + -8x = (3 + -4x) + -3x + 3 Reorder the terms: 9 + -8x = 3 + 3 + -4x + -3x Combine like terms: 3 + 3 = 6 9 + -8x = 6 + -4x + -3x Combine like terms: -4x + -3x = -7x 9 + -8x = 6 + -7x Solving 9 + -8x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -8x + 7x = 6 + -7x + 7x Combine like terms: -8x + 7x = -1x 9 + -1x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + -1x = 6 + 0 9 + -1x = 6 Add '-9' to each side of the equation. 9 + -9 + -1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 6 + -9 -1x = 6 + -9 Combine like terms: 6 + -9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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