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Simplifying x + -6 = 3(x + -12) Reorder the terms: -6 + x = 3(x + -12) Reorder the terms: -6 + x = 3(-12 + x) -6 + x = (-12 * 3 + x * 3) -6 + x = (-36 + 3x) Solving -6 + x = -36 + 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. -6 + x + -3x = -36 + 3x + -3x Combine like terms: x + -3x = -2x -6 + -2x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -36 + 0 -6 + -2x = -36 Add '6' to each side of the equation. -6 + 6 + -2x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -36 + 6 -2x = -36 + 6 Combine like terms: -36 + 6 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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