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Simplifying 4(2x + 10) = 120 + -5x Reorder the terms: 4(10 + 2x) = 120 + -5x (10 * 4 + 2x * 4) = 120 + -5x (40 + 8x) = 120 + -5x Solving 40 + 8x = 120 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 40 + 8x + 5x = 120 + -5x + 5x Combine like terms: 8x + 5x = 13x 40 + 13x = 120 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 13x = 120 + 0 40 + 13x = 120 Add '-40' to each side of the equation. 40 + -40 + 13x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 13x = 120 + -40 13x = 120 + -40 Combine like terms: 120 + -40 = 80 13x = 80 Divide each side by '13'. x = 6.153846154 Simplifying x = 6.153846154
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