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Simplifying 3(4 + -5x) + 2(5 + 2) = 3 + x (4 * 3 + -5x * 3) + 2(5 + 2) = 3 + x (12 + -15x) + 2(5 + 2) = 3 + x Combine like terms: 5 + 2 = 7 12 + -15x + 2(7) = 3 + x Multiply 2 * 7 12 + -15x + 14 = 3 + x Reorder the terms: 12 + 14 + -15x = 3 + x Combine like terms: 12 + 14 = 26 26 + -15x = 3 + x Solving 26 + -15x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 26 + -15x + -1x = 3 + x + -1x Combine like terms: -15x + -1x = -16x 26 + -16x = 3 + x + -1x Combine like terms: x + -1x = 0 26 + -16x = 3 + 0 26 + -16x = 3 Add '-26' to each side of the equation. 26 + -26 + -16x = 3 + -26 Combine like terms: 26 + -26 = 0 0 + -16x = 3 + -26 -16x = 3 + -26 Combine like terms: 3 + -26 = -23 -16x = -23 Divide each side by '-16'. x = 1.4375 Simplifying x = 1.4375
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