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Simplifying 2(x + 7) = 5(2x + -3) Reorder the terms: 2(7 + x) = 5(2x + -3) (7 * 2 + x * 2) = 5(2x + -3) (14 + 2x) = 5(2x + -3) Reorder the terms: 14 + 2x = 5(-3 + 2x) 14 + 2x = (-3 * 5 + 2x * 5) 14 + 2x = (-15 + 10x) Solving 14 + 2x = -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. 14 + 2x + -10x = -15 + 10x + -10x Combine like terms: 2x + -10x = -8x 14 + -8x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -8x = -15 + 0 14 + -8x = -15 Add '-14' to each side of the equation. 14 + -14 + -8x = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -15 + -14 -8x = -15 + -14 Combine like terms: -15 + -14 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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