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Simplifying 3x + 12 = 2(x + -10) Reorder the terms: 12 + 3x = 2(x + -10) Reorder the terms: 12 + 3x = 2(-10 + x) 12 + 3x = (-10 * 2 + x * 2) 12 + 3x = (-20 + 2x) Solving 12 + 3x = -20 + 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. 12 + 3x + -2x = -20 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = -20 + 0 12 + 1x = -20 Add '-12' to each side of the equation. 12 + -12 + 1x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -20 + -12 1x = -20 + -12 Combine like terms: -20 + -12 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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