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Simplifying 3(x + 3) + 2(2x + -2) = 12(2x + -7) Reorder the terms: 3(3 + x) + 2(2x + -2) = 12(2x + -7) (3 * 3 + x * 3) + 2(2x + -2) = 12(2x + -7) (9 + 3x) + 2(2x + -2) = 12(2x + -7) Reorder the terms: 9 + 3x + 2(-2 + 2x) = 12(2x + -7) 9 + 3x + (-2 * 2 + 2x * 2) = 12(2x + -7) 9 + 3x + (-4 + 4x) = 12(2x + -7) Reorder the terms: 9 + -4 + 3x + 4x = 12(2x + -7) Combine like terms: 9 + -4 = 5 5 + 3x + 4x = 12(2x + -7) Combine like terms: 3x + 4x = 7x 5 + 7x = 12(2x + -7) Reorder the terms: 5 + 7x = 12(-7 + 2x) 5 + 7x = (-7 * 12 + 2x * 12) 5 + 7x = (-84 + 24x) Solving 5 + 7x = -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. 5 + 7x + -24x = -84 + 24x + -24x Combine like terms: 7x + -24x = -17x 5 + -17x = -84 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + -17x = -84 + 0 5 + -17x = -84 Add '-5' to each side of the equation. 5 + -5 + -17x = -84 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = -84 + -5 -17x = -84 + -5 Combine like terms: -84 + -5 = -89 -17x = -89 Divide each side by '-17'. x = 5.235294118 Simplifying x = 5.235294118
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