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Simplifying 3(5x + 4) = 2(7x + -8) + 31 Reorder the terms: 3(4 + 5x) = 2(7x + -8) + 31 (4 * 3 + 5x * 3) = 2(7x + -8) + 31 (12 + 15x) = 2(7x + -8) + 31 Reorder the terms: 12 + 15x = 2(-8 + 7x) + 31 12 + 15x = (-8 * 2 + 7x * 2) + 31 12 + 15x = (-16 + 14x) + 31 Reorder the terms: 12 + 15x = -16 + 31 + 14x Combine like terms: -16 + 31 = 15 12 + 15x = 15 + 14x Solving 12 + 15x = 15 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 15x + -14x = 15 + 14x + -14x Combine like terms: 15x + -14x = 1x 12 + 1x = 15 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + 1x = 15 + 0 12 + 1x = 15 Add '-12' to each side of the equation. 12 + -12 + 1x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 15 + -12 1x = 15 + -12 Combine like terms: 15 + -12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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