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Simplifying 32 + (4x + -3) = 3x + -1(12x + -3) Reorder the terms: 32 + (-3 + 4x) = 3x + -1(12x + -3) Remove parenthesis around (-3 + 4x) 32 + -3 + 4x = 3x + -1(12x + -3) Combine like terms: 32 + -3 = 29 29 + 4x = 3x + -1(12x + -3) Reorder the terms: 29 + 4x = 3x + -1(-3 + 12x) 29 + 4x = 3x + (-3 * -1 + 12x * -1) 29 + 4x = 3x + (3 + -12x) Reorder the terms: 29 + 4x = 3 + 3x + -12x Combine like terms: 3x + -12x = -9x 29 + 4x = 3 + -9x Solving 29 + 4x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 29 + 4x + 9x = 3 + -9x + 9x Combine like terms: 4x + 9x = 13x 29 + 13x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 29 + 13x = 3 + 0 29 + 13x = 3 Add '-29' to each side of the equation. 29 + -29 + 13x = 3 + -29 Combine like terms: 29 + -29 = 0 0 + 13x = 3 + -29 13x = 3 + -29 Combine like terms: 3 + -29 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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