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Simplifying 5(x + 2) + -2(3x + -7) = -45 Reorder the terms: 5(2 + x) + -2(3x + -7) = -45 (2 * 5 + x * 5) + -2(3x + -7) = -45 (10 + 5x) + -2(3x + -7) = -45 Reorder the terms: 10 + 5x + -2(-7 + 3x) = -45 10 + 5x + (-7 * -2 + 3x * -2) = -45 10 + 5x + (14 + -6x) = -45 Reorder the terms: 10 + 14 + 5x + -6x = -45 Combine like terms: 10 + 14 = 24 24 + 5x + -6x = -45 Combine like terms: 5x + -6x = -1x 24 + -1x = -45 Solving 24 + -1x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = -45 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -45 + -24 -1x = -45 + -24 Combine like terms: -45 + -24 = -69 -1x = -69 Divide each side by '-1'. x = 69 Simplifying x = 69
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