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Simplifying 3x + 2 = 2(2x + -7) + -12 Reorder the terms: 2 + 3x = 2(2x + -7) + -12 Reorder the terms: 2 + 3x = 2(-7 + 2x) + -12 2 + 3x = (-7 * 2 + 2x * 2) + -12 2 + 3x = (-14 + 4x) + -12 Reorder the terms: 2 + 3x = -14 + -12 + 4x Combine like terms: -14 + -12 = -26 2 + 3x = -26 + 4x Solving 2 + 3x = -26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 3x + -4x = -26 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -26 + 0 2 + -1x = -26 Add '-2' to each side of the equation. 2 + -2 + -1x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -26 + -2 -1x = -26 + -2 Combine like terms: -26 + -2 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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