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Simplifying 5(2x + 7) + -6 = 4 + -1(3 + -1x) Reorder the terms: 5(7 + 2x) + -6 = 4 + -1(3 + -1x) (7 * 5 + 2x * 5) + -6 = 4 + -1(3 + -1x) (35 + 10x) + -6 = 4 + -1(3 + -1x) Reorder the terms: 35 + -6 + 10x = 4 + -1(3 + -1x) Combine like terms: 35 + -6 = 29 29 + 10x = 4 + -1(3 + -1x) 29 + 10x = 4 + (3 * -1 + -1x * -1) 29 + 10x = 4 + (-3 + 1x) Combine like terms: 4 + -3 = 1 29 + 10x = 1 + 1x Solving 29 + 10x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 29 + 10x + -1x = 1 + 1x + -1x Combine like terms: 10x + -1x = 9x 29 + 9x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 29 + 9x = 1 + 0 29 + 9x = 1 Add '-29' to each side of the equation. 29 + -29 + 9x = 1 + -29 Combine like terms: 29 + -29 = 0 0 + 9x = 1 + -29 9x = 1 + -29 Combine like terms: 1 + -29 = -28 9x = -28 Divide each side by '9'. x = -3.111111111 Simplifying x = -3.111111111
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