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Simplifying 7x + 6(2 + -1x) + 18 = 29 + 3(6 + x) 7x + (2 * 6 + -1x * 6) + 18 = 29 + 3(6 + x) 7x + (12 + -6x) + 18 = 29 + 3(6 + x) Reorder the terms: 12 + 18 + 7x + -6x = 29 + 3(6 + x) Combine like terms: 12 + 18 = 30 30 + 7x + -6x = 29 + 3(6 + x) Combine like terms: 7x + -6x = 1x 30 + 1x = 29 + 3(6 + x) 30 + 1x = 29 + (6 * 3 + x * 3) 30 + 1x = 29 + (18 + 3x) Combine like terms: 29 + 18 = 47 30 + 1x = 47 + 3x Solving 30 + 1x = 47 + 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. 30 + 1x + -3x = 47 + 3x + -3x Combine like terms: 1x + -3x = -2x 30 + -2x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -2x = 47 + 0 30 + -2x = 47 Add '-30' to each side of the equation. 30 + -30 + -2x = 47 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 47 + -30 -2x = 47 + -30 Combine like terms: 47 + -30 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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