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Simplifying 7x + -29 + -21x = 3 + -1(12 + 2x) Reorder the terms: -29 + 7x + -21x = 3 + -1(12 + 2x) Combine like terms: 7x + -21x = -14x -29 + -14x = 3 + -1(12 + 2x) -29 + -14x = 3 + (12 * -1 + 2x * -1) -29 + -14x = 3 + (-12 + -2x) Combine like terms: 3 + -12 = -9 -29 + -14x = -9 + -2x Solving -29 + -14x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -29 + -14x + 2x = -9 + -2x + 2x Combine like terms: -14x + 2x = -12x -29 + -12x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -29 + -12x = -9 + 0 -29 + -12x = -9 Add '29' to each side of the equation. -29 + 29 + -12x = -9 + 29 Combine like terms: -29 + 29 = 0 0 + -12x = -9 + 29 -12x = -9 + 29 Combine like terms: -9 + 29 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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