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Simplifying 3(5x + -3) + -1(x + -7) * 2 = 5(2x + 3) Reorder the terms: 3(-3 + 5x) + -1(x + -7) * 2 = 5(2x + 3) (-3 * 3 + 5x * 3) + -1(x + -7) * 2 = 5(2x + 3) (-9 + 15x) + -1(x + -7) * 2 = 5(2x + 3) Reorder the terms: -9 + 15x + -1(-7 + x) * 2 = 5(2x + 3) Reorder the terms for easier multiplication: -9 + 15x + -1 * 2(-7 + x) = 5(2x + 3) Multiply -1 * 2 -9 + 15x + -2(-7 + x) = 5(2x + 3) -9 + 15x + (-7 * -2 + x * -2) = 5(2x + 3) -9 + 15x + (14 + -2x) = 5(2x + 3) Reorder the terms: -9 + 14 + 15x + -2x = 5(2x + 3) Combine like terms: -9 + 14 = 5 5 + 15x + -2x = 5(2x + 3) Combine like terms: 15x + -2x = 13x 5 + 13x = 5(2x + 3) Reorder the terms: 5 + 13x = 5(3 + 2x) 5 + 13x = (3 * 5 + 2x * 5) 5 + 13x = (15 + 10x) Solving 5 + 13x = 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. 5 + 13x + -10x = 15 + 10x + -10x Combine like terms: 13x + -10x = 3x 5 + 3x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 3x = 15 + 0 5 + 3x = 15 Add '-5' to each side of the equation. 5 + -5 + 3x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 15 + -5 3x = 15 + -5 Combine like terms: 15 + -5 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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