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Simplifying 7x + -29 + -21x = 3 + -1(12 + 12x) Reorder the terms: -29 + 7x + -21x = 3 + -1(12 + 12x) Combine like terms: 7x + -21x = -14x -29 + -14x = 3 + -1(12 + 12x) -29 + -14x = 3 + (12 * -1 + 12x * -1) -29 + -14x = 3 + (-12 + -12x) Combine like terms: 3 + -12 = -9 -29 + -14x = -9 + -12x Solving -29 + -14x = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -29 + -14x + 12x = -9 + -12x + 12x Combine like terms: -14x + 12x = -2x -29 + -2x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 -29 + -2x = -9 + 0 -29 + -2x = -9 Add '29' to each side of the equation. -29 + 29 + -2x = -9 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = -9 + 29 -2x = -9 + 29 Combine like terms: -9 + 29 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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