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Simplifying 7(x + 2) + -8(3x + -3) = 12 Reorder the terms: 7(2 + x) + -8(3x + -3) = 12 (2 * 7 + x * 7) + -8(3x + -3) = 12 (14 + 7x) + -8(3x + -3) = 12 Reorder the terms: 14 + 7x + -8(-3 + 3x) = 12 14 + 7x + (-3 * -8 + 3x * -8) = 12 14 + 7x + (24 + -24x) = 12 Reorder the terms: 14 + 24 + 7x + -24x = 12 Combine like terms: 14 + 24 = 38 38 + 7x + -24x = 12 Combine like terms: 7x + -24x = -17x 38 + -17x = 12 Solving 38 + -17x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -17x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + -17x = 12 + -38 -17x = 12 + -38 Combine like terms: 12 + -38 = -26 -17x = -26 Divide each side by '-17'. x = 1.529411765 Simplifying x = 1.529411765
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