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Simplifying 3(x + 3) + -2(2x + -4) = 12(2x + -7) Reorder the terms: 3(3 + x) + -2(2x + -4) = 12(2x + -7) (3 * 3 + x * 3) + -2(2x + -4) = 12(2x + -7) (9 + 3x) + -2(2x + -4) = 12(2x + -7) Reorder the terms: 9 + 3x + -2(-4 + 2x) = 12(2x + -7) 9 + 3x + (-4 * -2 + 2x * -2) = 12(2x + -7) 9 + 3x + (8 + -4x) = 12(2x + -7) Reorder the terms: 9 + 8 + 3x + -4x = 12(2x + -7) Combine like terms: 9 + 8 = 17 17 + 3x + -4x = 12(2x + -7) Combine like terms: 3x + -4x = -1x 17 + -1x = 12(2x + -7) Reorder the terms: 17 + -1x = 12(-7 + 2x) 17 + -1x = (-7 * 12 + 2x * 12) 17 + -1x = (-84 + 24x) Solving 17 + -1x = -84 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 17 + -1x + -24x = -84 + 24x + -24x Combine like terms: -1x + -24x = -25x 17 + -25x = -84 + 24x + -24x Combine like terms: 24x + -24x = 0 17 + -25x = -84 + 0 17 + -25x = -84 Add '-17' to each side of the equation. 17 + -17 + -25x = -84 + -17 Combine like terms: 17 + -17 = 0 0 + -25x = -84 + -17 -25x = -84 + -17 Combine like terms: -84 + -17 = -101 -25x = -101 Divide each side by '-25'. x = 4.04 Simplifying x = 4.04
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