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Simplifying 2(3x + 5) = 7(x + -2) Reorder the terms: 2(5 + 3x) = 7(x + -2) (5 * 2 + 3x * 2) = 7(x + -2) (10 + 6x) = 7(x + -2) Reorder the terms: 10 + 6x = 7(-2 + x) 10 + 6x = (-2 * 7 + x * 7) 10 + 6x = (-14 + 7x) Solving 10 + 6x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 6x + -7x = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x 10 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -1x = -14 + 0 10 + -1x = -14 Add '-10' to each side of the equation. 10 + -10 + -1x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -14 + -10 -1x = -14 + -10 Combine like terms: -14 + -10 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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