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Simplifying 15 + 2(5 + -3x) = 5 + -5(2x + -3) + 7 15 + (5 * 2 + -3x * 2) = 5 + -5(2x + -3) + 7 15 + (10 + -6x) = 5 + -5(2x + -3) + 7 Combine like terms: 15 + 10 = 25 25 + -6x = 5 + -5(2x + -3) + 7 Reorder the terms: 25 + -6x = 5 + -5(-3 + 2x) + 7 25 + -6x = 5 + (-3 * -5 + 2x * -5) + 7 25 + -6x = 5 + (15 + -10x) + 7 Reorder the terms: 25 + -6x = 5 + 15 + 7 + -10x Combine like terms: 5 + 15 = 20 25 + -6x = 20 + 7 + -10x Combine like terms: 20 + 7 = 27 25 + -6x = 27 + -10x Solving 25 + -6x = 27 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 25 + -6x + 10x = 27 + -10x + 10x Combine like terms: -6x + 10x = 4x 25 + 4x = 27 + -10x + 10x Combine like terms: -10x + 10x = 0 25 + 4x = 27 + 0 25 + 4x = 27 Add '-25' to each side of the equation. 25 + -25 + 4x = 27 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 27 + -25 4x = 27 + -25 Combine like terms: 27 + -25 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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