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Simplifying 3(x + -6) + -7(x + 2) = -2(x + 12) Reorder the terms: 3(-6 + x) + -7(x + 2) = -2(x + 12) (-6 * 3 + x * 3) + -7(x + 2) = -2(x + 12) (-18 + 3x) + -7(x + 2) = -2(x + 12) Reorder the terms: -18 + 3x + -7(2 + x) = -2(x + 12) -18 + 3x + (2 * -7 + x * -7) = -2(x + 12) -18 + 3x + (-14 + -7x) = -2(x + 12) Reorder the terms: -18 + -14 + 3x + -7x = -2(x + 12) Combine like terms: -18 + -14 = -32 -32 + 3x + -7x = -2(x + 12) Combine like terms: 3x + -7x = -4x -32 + -4x = -2(x + 12) Reorder the terms: -32 + -4x = -2(12 + x) -32 + -4x = (12 * -2 + x * -2) -32 + -4x = (-24 + -2x) Solving -32 + -4x = -24 + -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. -32 + -4x + 2x = -24 + -2x + 2x Combine like terms: -4x + 2x = -2x -32 + -2x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + -2x = -24 + 0 -32 + -2x = -24 Add '32' to each side of the equation. -32 + 32 + -2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -24 + 32 -2x = -24 + 32 Combine like terms: -24 + 32 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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