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Simplifying 5(2x + 1) + -1(x + -7) = 30 Reorder the terms: 5(1 + 2x) + -1(x + -7) = 30 (1 * 5 + 2x * 5) + -1(x + -7) = 30 (5 + 10x) + -1(x + -7) = 30 Reorder the terms: 5 + 10x + -1(-7 + x) = 30 5 + 10x + (-7 * -1 + x * -1) = 30 5 + 10x + (7 + -1x) = 30 Reorder the terms: 5 + 7 + 10x + -1x = 30 Combine like terms: 5 + 7 = 12 12 + 10x + -1x = 30 Combine like terms: 10x + -1x = 9x 12 + 9x = 30 Solving 12 + 9x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 30 + -12 9x = 30 + -12 Combine like terms: 30 + -12 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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