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Simplifying 3(x + 1) = 4(x + -6) + (x + 7) Reorder the terms: 3(1 + x) = 4(x + -6) + (x + 7) (1 * 3 + x * 3) = 4(x + -6) + (x + 7) (3 + 3x) = 4(x + -6) + (x + 7) Reorder the terms: 3 + 3x = 4(-6 + x) + (x + 7) 3 + 3x = (-6 * 4 + x * 4) + (x + 7) 3 + 3x = (-24 + 4x) + (x + 7) Reorder the terms: 3 + 3x = -24 + 4x + (7 + x) Remove parenthesis around (7 + x) 3 + 3x = -24 + 4x + 7 + x Reorder the terms: 3 + 3x = -24 + 7 + 4x + x Combine like terms: -24 + 7 = -17 3 + 3x = -17 + 4x + x Combine like terms: 4x + x = 5x 3 + 3x = -17 + 5x Solving 3 + 3x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 3x + -5x = -17 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = -17 + 0 3 + -2x = -17 Add '-3' to each side of the equation. 3 + -3 + -2x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -17 + -3 -2x = -17 + -3 Combine like terms: -17 + -3 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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