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Simplifying 5(3 + -2x) + -2(3x + 7) = 3(4 + -5x) (3 * 5 + -2x * 5) + -2(3x + 7) = 3(4 + -5x) (15 + -10x) + -2(3x + 7) = 3(4 + -5x) Reorder the terms: 15 + -10x + -2(7 + 3x) = 3(4 + -5x) 15 + -10x + (7 * -2 + 3x * -2) = 3(4 + -5x) 15 + -10x + (-14 + -6x) = 3(4 + -5x) Reorder the terms: 15 + -14 + -10x + -6x = 3(4 + -5x) Combine like terms: 15 + -14 = 1 1 + -10x + -6x = 3(4 + -5x) Combine like terms: -10x + -6x = -16x 1 + -16x = 3(4 + -5x) 1 + -16x = (4 * 3 + -5x * 3) 1 + -16x = (12 + -15x) Solving 1 + -16x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 1 + -16x + 15x = 12 + -15x + 15x Combine like terms: -16x + 15x = -1x 1 + -1x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 1 + -1x = 12 + 0 1 + -1x = 12 Add '-1' to each side of the equation. 1 + -1 + -1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 12 + -1 -1x = 12 + -1 Combine like terms: 12 + -1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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