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Simplifying 6(x + -3) + -11x + 10 = 2(x + -1) + 8 Reorder the terms: 6(-3 + x) + -11x + 10 = 2(x + -1) + 8 (-3 * 6 + x * 6) + -11x + 10 = 2(x + -1) + 8 (-18 + 6x) + -11x + 10 = 2(x + -1) + 8 Reorder the terms: -18 + 10 + 6x + -11x = 2(x + -1) + 8 Combine like terms: -18 + 10 = -8 -8 + 6x + -11x = 2(x + -1) + 8 Combine like terms: 6x + -11x = -5x -8 + -5x = 2(x + -1) + 8 Reorder the terms: -8 + -5x = 2(-1 + x) + 8 -8 + -5x = (-1 * 2 + x * 2) + 8 -8 + -5x = (-2 + 2x) + 8 Reorder the terms: -8 + -5x = -2 + 8 + 2x Combine like terms: -2 + 8 = 6 -8 + -5x = 6 + 2x Solving -8 + -5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -5x + -2x = 6 + 2x + -2x Combine like terms: -5x + -2x = -7x -8 + -7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -7x = 6 + 0 -8 + -7x = 6 Add '8' to each side of the equation. -8 + 8 + -7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 6 + 8 -7x = 6 + 8 Combine like terms: 6 + 8 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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