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Simplifying -3(x + -5) = 6 + -4(2x + -1) Reorder the terms: -3(-5 + x) = 6 + -4(2x + -1) (-5 * -3 + x * -3) = 6 + -4(2x + -1) (15 + -3x) = 6 + -4(2x + -1) Reorder the terms: 15 + -3x = 6 + -4(-1 + 2x) 15 + -3x = 6 + (-1 * -4 + 2x * -4) 15 + -3x = 6 + (4 + -8x) Combine like terms: 6 + 4 = 10 15 + -3x = 10 + -8x Solving 15 + -3x = 10 + -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. 15 + -3x + 8x = 10 + -8x + 8x Combine like terms: -3x + 8x = 5x 15 + 5x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 5x = 10 + 0 15 + 5x = 10 Add '-15' to each side of the equation. 15 + -15 + 5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 10 + -15 5x = 10 + -15 Combine like terms: 10 + -15 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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