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Simplifying -2(3x + -5) + 5 = 3x + 7 Reorder the terms: -2(-5 + 3x) + 5 = 3x + 7 (-5 * -2 + 3x * -2) + 5 = 3x + 7 (10 + -6x) + 5 = 3x + 7 Reorder the terms: 10 + 5 + -6x = 3x + 7 Combine like terms: 10 + 5 = 15 15 + -6x = 3x + 7 Reorder the terms: 15 + -6x = 7 + 3x Solving 15 + -6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -6x + -3x = 7 + 3x + -3x Combine like terms: -6x + -3x = -9x 15 + -9x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -9x = 7 + 0 15 + -9x = 7 Add '-15' to each side of the equation. 15 + -15 + -9x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 7 + -15 -9x = 7 + -15 Combine like terms: 7 + -15 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889
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