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Simplifying 2(x + 7) = 5(3x + -5) Reorder the terms: 2(7 + x) = 5(3x + -5) (7 * 2 + x * 2) = 5(3x + -5) (14 + 2x) = 5(3x + -5) Reorder the terms: 14 + 2x = 5(-5 + 3x) 14 + 2x = (-5 * 5 + 3x * 5) 14 + 2x = (-25 + 15x) Solving 14 + 2x = -25 + 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. 14 + 2x + -15x = -25 + 15x + -15x Combine like terms: 2x + -15x = -13x 14 + -13x = -25 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -13x = -25 + 0 14 + -13x = -25 Add '-14' to each side of the equation. 14 + -14 + -13x = -25 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = -25 + -14 -13x = -25 + -14 Combine like terms: -25 + -14 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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