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Simplifying 5(2x + 5) + 3(3x + -7) = 12 Reorder the terms: 5(5 + 2x) + 3(3x + -7) = 12 (5 * 5 + 2x * 5) + 3(3x + -7) = 12 (25 + 10x) + 3(3x + -7) = 12 Reorder the terms: 25 + 10x + 3(-7 + 3x) = 12 25 + 10x + (-7 * 3 + 3x * 3) = 12 25 + 10x + (-21 + 9x) = 12 Reorder the terms: 25 + -21 + 10x + 9x = 12 Combine like terms: 25 + -21 = 4 4 + 10x + 9x = 12 Combine like terms: 10x + 9x = 19x 4 + 19x = 12 Solving 4 + 19x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 19x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 19x = 12 + -4 19x = 12 + -4 Combine like terms: 12 + -4 = 8 19x = 8 Divide each side by '19'. x = 0.4210526316 Simplifying x = 0.4210526316
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