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Simplifying 3(x + 5) + -6 = 2(x + -1) + -1 + -3x Reorder the terms: 3(5 + x) + -6 = 2(x + -1) + -1 + -3x (5 * 3 + x * 3) + -6 = 2(x + -1) + -1 + -3x (15 + 3x) + -6 = 2(x + -1) + -1 + -3x Reorder the terms: 15 + -6 + 3x = 2(x + -1) + -1 + -3x Combine like terms: 15 + -6 = 9 9 + 3x = 2(x + -1) + -1 + -3x Reorder the terms: 9 + 3x = 2(-1 + x) + -1 + -3x 9 + 3x = (-1 * 2 + x * 2) + -1 + -3x 9 + 3x = (-2 + 2x) + -1 + -3x Reorder the terms: 9 + 3x = -2 + -1 + 2x + -3x Combine like terms: -2 + -1 = -3 9 + 3x = -3 + 2x + -3x Combine like terms: 2x + -3x = -1x 9 + 3x = -3 + -1x Solving 9 + 3x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = -3 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = -3 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = -3 + 0 9 + 4x = -3 Add '-9' to each side of the equation. 9 + -9 + 4x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -3 + -9 4x = -3 + -9 Combine like terms: -3 + -9 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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