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Simplifying 15 + -3(5x + -7) = 2(7 + -2x) Reorder the terms: 15 + -3(-7 + 5x) = 2(7 + -2x) 15 + (-7 * -3 + 5x * -3) = 2(7 + -2x) 15 + (21 + -15x) = 2(7 + -2x) Combine like terms: 15 + 21 = 36 36 + -15x = 2(7 + -2x) 36 + -15x = (7 * 2 + -2x * 2) 36 + -15x = (14 + -4x) Solving 36 + -15x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + -15x + 4x = 14 + -4x + 4x Combine like terms: -15x + 4x = -11x 36 + -11x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + -11x = 14 + 0 36 + -11x = 14 Add '-36' to each side of the equation. 36 + -36 + -11x = 14 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = 14 + -36 -11x = 14 + -36 Combine like terms: 14 + -36 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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