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Simplifying -7(x + -6) + -3x + -3 = 3(x + 5) + -2x Reorder the terms: -7(-6 + x) + -3x + -3 = 3(x + 5) + -2x (-6 * -7 + x * -7) + -3x + -3 = 3(x + 5) + -2x (42 + -7x) + -3x + -3 = 3(x + 5) + -2x Reorder the terms: 42 + -3 + -7x + -3x = 3(x + 5) + -2x Combine like terms: 42 + -3 = 39 39 + -7x + -3x = 3(x + 5) + -2x Combine like terms: -7x + -3x = -10x 39 + -10x = 3(x + 5) + -2x Reorder the terms: 39 + -10x = 3(5 + x) + -2x 39 + -10x = (5 * 3 + x * 3) + -2x 39 + -10x = (15 + 3x) + -2x Combine like terms: 3x + -2x = 1x 39 + -10x = 15 + 1x Solving 39 + -10x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 39 + -10x + -1x = 15 + 1x + -1x Combine like terms: -10x + -1x = -11x 39 + -11x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 39 + -11x = 15 + 0 39 + -11x = 15 Add '-39' to each side of the equation. 39 + -39 + -11x = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -11x = 15 + -39 -11x = 15 + -39 Combine like terms: 15 + -39 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182
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