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Simplifying 6x + 15 = 24(10 + -1x) Reorder the terms: 15 + 6x = 24(10 + -1x) 15 + 6x = (10 * 24 + -1x * 24) 15 + 6x = (240 + -24x) Solving 15 + 6x = 240 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 15 + 6x + 24x = 240 + -24x + 24x Combine like terms: 6x + 24x = 30x 15 + 30x = 240 + -24x + 24x Combine like terms: -24x + 24x = 0 15 + 30x = 240 + 0 15 + 30x = 240 Add '-15' to each side of the equation. 15 + -15 + 30x = 240 + -15 Combine like terms: 15 + -15 = 0 0 + 30x = 240 + -15 30x = 240 + -15 Combine like terms: 240 + -15 = 225 30x = 225 Divide each side by '30'. x = 7.5 Simplifying x = 7.5
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