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Simplifying 8(2 + 5x) + -7 = 7 + -3(6x + 1) (2 * 8 + 5x * 8) + -7 = 7 + -3(6x + 1) (16 + 40x) + -7 = 7 + -3(6x + 1) Reorder the terms: 16 + -7 + 40x = 7 + -3(6x + 1) Combine like terms: 16 + -7 = 9 9 + 40x = 7 + -3(6x + 1) Reorder the terms: 9 + 40x = 7 + -3(1 + 6x) 9 + 40x = 7 + (1 * -3 + 6x * -3) 9 + 40x = 7 + (-3 + -18x) Combine like terms: 7 + -3 = 4 9 + 40x = 4 + -18x Solving 9 + 40x = 4 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 9 + 40x + 18x = 4 + -18x + 18x Combine like terms: 40x + 18x = 58x 9 + 58x = 4 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + 58x = 4 + 0 9 + 58x = 4 Add '-9' to each side of the equation. 9 + -9 + 58x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 58x = 4 + -9 58x = 4 + -9 Combine like terms: 4 + -9 = -5 58x = -5 Divide each side by '58'. x = -0.08620689655 Simplifying x = -0.08620689655
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