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Simplifying 7x + -29 + -21x = 3 + -2(12 + 2x) Reorder the terms: -29 + 7x + -21x = 3 + -2(12 + 2x) Combine like terms: 7x + -21x = -14x -29 + -14x = 3 + -2(12 + 2x) -29 + -14x = 3 + (12 * -2 + 2x * -2) -29 + -14x = 3 + (-24 + -4x) Combine like terms: 3 + -24 = -21 -29 + -14x = -21 + -4x Solving -29 + -14x = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -29 + -14x + 4x = -21 + -4x + 4x Combine like terms: -14x + 4x = -10x -29 + -10x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 -29 + -10x = -21 + 0 -29 + -10x = -21 Add '29' to each side of the equation. -29 + 29 + -10x = -21 + 29 Combine like terms: -29 + 29 = 0 0 + -10x = -21 + 29 -10x = -21 + 29 Combine like terms: -21 + 29 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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