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Simplifying 7 + -1(x + 3 + -4) = 3(x + 1) + -39 Reorder the terms: 7 + -1(3 + -4 + x) = 3(x + 1) + -39 Combine like terms: 3 + -4 = -1 7 + -1(-1 + x) = 3(x + 1) + -39 7 + (-1 * -1 + x * -1) = 3(x + 1) + -39 7 + (1 + -1x) = 3(x + 1) + -39 Combine like terms: 7 + 1 = 8 8 + -1x = 3(x + 1) + -39 Reorder the terms: 8 + -1x = 3(1 + x) + -39 8 + -1x = (1 * 3 + x * 3) + -39 8 + -1x = (3 + 3x) + -39 Reorder the terms: 8 + -1x = 3 + -39 + 3x Combine like terms: 3 + -39 = -36 8 + -1x = -36 + 3x Solving 8 + -1x = -36 + 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. 8 + -1x + -3x = -36 + 3x + -3x Combine like terms: -1x + -3x = -4x 8 + -4x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -4x = -36 + 0 8 + -4x = -36 Add '-8' to each side of the equation. 8 + -8 + -4x = -36 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -36 + -8 -4x = -36 + -8 Combine like terms: -36 + -8 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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