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Simplifying 3(2 + -2x) + 7 = 5(3 + 2x) (2 * 3 + -2x * 3) + 7 = 5(3 + 2x) (6 + -6x) + 7 = 5(3 + 2x) Reorder the terms: 6 + 7 + -6x = 5(3 + 2x) Combine like terms: 6 + 7 = 13 13 + -6x = 5(3 + 2x) 13 + -6x = (3 * 5 + 2x * 5) 13 + -6x = (15 + 10x) Solving 13 + -6x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + -6x + -10x = 15 + 10x + -10x Combine like terms: -6x + -10x = -16x 13 + -16x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + -16x = 15 + 0 13 + -16x = 15 Add '-13' to each side of the equation. 13 + -13 + -16x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -16x = 15 + -13 -16x = 15 + -13 Combine like terms: 15 + -13 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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