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Simplifying 7x + 6(2 + -1x) + 17 = 24 + 3(6 + x) 7x + (2 * 6 + -1x * 6) + 17 = 24 + 3(6 + x) 7x + (12 + -6x) + 17 = 24 + 3(6 + x) Reorder the terms: 12 + 17 + 7x + -6x = 24 + 3(6 + x) Combine like terms: 12 + 17 = 29 29 + 7x + -6x = 24 + 3(6 + x) Combine like terms: 7x + -6x = 1x 29 + 1x = 24 + 3(6 + x) 29 + 1x = 24 + (6 * 3 + x * 3) 29 + 1x = 24 + (18 + 3x) Combine like terms: 24 + 18 = 42 29 + 1x = 42 + 3x Solving 29 + 1x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 1x + -3x = 42 + 3x + -3x Combine like terms: 1x + -3x = -2x 29 + -2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + -2x = 42 + 0 29 + -2x = 42 Add '-29' to each side of the equation. 29 + -29 + -2x = 42 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 42 + -29 -2x = 42 + -29 Combine like terms: 42 + -29 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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