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Simplifying 6(x + -2) = 9 + -3(x + 1) Reorder the terms: 6(-2 + x) = 9 + -3(x + 1) (-2 * 6 + x * 6) = 9 + -3(x + 1) (-12 + 6x) = 9 + -3(x + 1) Reorder the terms: -12 + 6x = 9 + -3(1 + x) -12 + 6x = 9 + (1 * -3 + x * -3) -12 + 6x = 9 + (-3 + -3x) Combine like terms: 9 + -3 = 6 -12 + 6x = 6 + -3x Solving -12 + 6x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 6x + 3x = 6 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 6 + 0 -12 + 9x = 6 Add '12' to each side of the equation. -12 + 12 + 9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 6 + 12 9x = 6 + 12 Combine like terms: 6 + 12 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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