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Simplifying 3(2 + -1x) = 5(2x + -7) * 2 (2 * 3 + -1x * 3) = 5(2x + -7) * 2 (6 + -3x) = 5(2x + -7) * 2 Reorder the terms: 6 + -3x = 5(-7 + 2x) * 2 Reorder the terms for easier multiplication: 6 + -3x = 5 * 2(-7 + 2x) Multiply 5 * 2 6 + -3x = 10(-7 + 2x) 6 + -3x = (-7 * 10 + 2x * 10) 6 + -3x = (-70 + 20x) Solving 6 + -3x = -70 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + -3x + -20x = -70 + 20x + -20x Combine like terms: -3x + -20x = -23x 6 + -23x = -70 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -23x = -70 + 0 6 + -23x = -70 Add '-6' to each side of the equation. 6 + -6 + -23x = -70 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = -70 + -6 -23x = -70 + -6 Combine like terms: -70 + -6 = -76 -23x = -76 Divide each side by '-23'. x = 3.304347826 Simplifying x = 3.304347826
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