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