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Simplifying 3(x + -1) + 32 = x + -7(x + 1) Reorder the terms: 3(-1 + x) + 32 = x + -7(x + 1) (-1 * 3 + x * 3) + 32 = x + -7(x + 1) (-3 + 3x) + 32 = x + -7(x + 1) Reorder the terms: -3 + 32 + 3x = x + -7(x + 1) Combine like terms: -3 + 32 = 29 29 + 3x = x + -7(x + 1) Reorder the terms: 29 + 3x = x + -7(1 + x) 29 + 3x = x + (1 * -7 + x * -7) 29 + 3x = x + (-7 + -7x) Reorder the terms: 29 + 3x = -7 + x + -7x Combine like terms: x + -7x = -6x 29 + 3x = -7 + -6x Solving 29 + 3x = -7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 29 + 3x + 6x = -7 + -6x + 6x Combine like terms: 3x + 6x = 9x 29 + 9x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 29 + 9x = -7 + 0 29 + 9x = -7 Add '-29' to each side of the equation. 29 + -29 + 9x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + 9x = -7 + -29 9x = -7 + -29 Combine like terms: -7 + -29 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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