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Simplifying 3x + 12 = 2(x + -30) + 4 Reorder the terms: 12 + 3x = 2(x + -30) + 4 Reorder the terms: 12 + 3x = 2(-30 + x) + 4 12 + 3x = (-30 * 2 + x * 2) + 4 12 + 3x = (-60 + 2x) + 4 Reorder the terms: 12 + 3x = -60 + 4 + 2x Combine like terms: -60 + 4 = -56 12 + 3x = -56 + 2x Solving 12 + 3x = -56 + 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 = -56 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = -56 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = -56 + 0 12 + 1x = -56 Add '-12' to each side of the equation. 12 + -12 + 1x = -56 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -56 + -12 1x = -56 + -12 Combine like terms: -56 + -12 = -68 1x = -68 Divide each side by '1'. x = -68 Simplifying x = -68
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