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Simplifying 6x + 15 = 2(3x + 5) * 5 Reorder the terms: 15 + 6x = 2(3x + 5) * 5 Reorder the terms: 15 + 6x = 2(5 + 3x) * 5 Reorder the terms for easier multiplication: 15 + 6x = 2 * 5(5 + 3x) Multiply 2 * 5 15 + 6x = 10(5 + 3x) 15 + 6x = (5 * 10 + 3x * 10) 15 + 6x = (50 + 30x) Solving 15 + 6x = 50 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15 + 6x + -30x = 50 + 30x + -30x Combine like terms: 6x + -30x = -24x 15 + -24x = 50 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -24x = 50 + 0 15 + -24x = 50 Add '-15' to each side of the equation. 15 + -15 + -24x = 50 + -15 Combine like terms: 15 + -15 = 0 0 + -24x = 50 + -15 -24x = 50 + -15 Combine like terms: 50 + -15 = 35 -24x = 35 Divide each side by '-24'. x = -1.458333333 Simplifying x = -1.458333333
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