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Simplifying 10x + 7 = 9(5 + -1x) Reorder the terms: 7 + 10x = 9(5 + -1x) 7 + 10x = (5 * 9 + -1x * 9) 7 + 10x = (45 + -9x) Solving 7 + 10x = 45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + 10x + 9x = 45 + -9x + 9x Combine like terms: 10x + 9x = 19x 7 + 19x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 19x = 45 + 0 7 + 19x = 45 Add '-7' to each side of the equation. 7 + -7 + 19x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 19x = 45 + -7 19x = 45 + -7 Combine like terms: 45 + -7 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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