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Simplifying 5(4x + 3) = 7(x + -6) * 17 Reorder the terms: 5(3 + 4x) = 7(x + -6) * 17 (3 * 5 + 4x * 5) = 7(x + -6) * 17 (15 + 20x) = 7(x + -6) * 17 Reorder the terms: 15 + 20x = 7(-6 + x) * 17 Reorder the terms for easier multiplication: 15 + 20x = 7 * 17(-6 + x) Multiply 7 * 17 15 + 20x = 119(-6 + x) 15 + 20x = (-6 * 119 + x * 119) 15 + 20x = (-714 + 119x) Solving 15 + 20x = -714 + 119x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119x' to each side of the equation. 15 + 20x + -119x = -714 + 119x + -119x Combine like terms: 20x + -119x = -99x 15 + -99x = -714 + 119x + -119x Combine like terms: 119x + -119x = 0 15 + -99x = -714 + 0 15 + -99x = -714 Add '-15' to each side of the equation. 15 + -15 + -99x = -714 + -15 Combine like terms: 15 + -15 = 0 0 + -99x = -714 + -15 -99x = -714 + -15 Combine like terms: -714 + -15 = -729 -99x = -729 Divide each side by '-99'. x = 7.363636364 Simplifying x = 7.363636364
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