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Simplifying 3(4x + 5) + -7 = 5(3x + 1) + -4x Reorder the terms: 3(5 + 4x) + -7 = 5(3x + 1) + -4x (5 * 3 + 4x * 3) + -7 = 5(3x + 1) + -4x (15 + 12x) + -7 = 5(3x + 1) + -4x Reorder the terms: 15 + -7 + 12x = 5(3x + 1) + -4x Combine like terms: 15 + -7 = 8 8 + 12x = 5(3x + 1) + -4x Reorder the terms: 8 + 12x = 5(1 + 3x) + -4x 8 + 12x = (1 * 5 + 3x * 5) + -4x 8 + 12x = (5 + 15x) + -4x Combine like terms: 15x + -4x = 11x 8 + 12x = 5 + 11x Solving 8 + 12x = 5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + 12x + -11x = 5 + 11x + -11x Combine like terms: 12x + -11x = 1x 8 + 1x = 5 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + 1x = 5 + 0 8 + 1x = 5 Add '-8' to each side of the equation. 8 + -8 + 1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 5 + -8 1x = 5 + -8 Combine like terms: 5 + -8 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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