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Simplifying 7x + -29 + -21 = 3 + -1(12 + 2x) Reorder the terms: -29 + -21 + 7x = 3 + -1(12 + 2x) Combine like terms: -29 + -21 = -50 -50 + 7x = 3 + -1(12 + 2x) -50 + 7x = 3 + (12 * -1 + 2x * -1) -50 + 7x = 3 + (-12 + -2x) Combine like terms: 3 + -12 = -9 -50 + 7x = -9 + -2x Solving -50 + 7x = -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. -50 + 7x + 2x = -9 + -2x + 2x Combine like terms: 7x + 2x = 9x -50 + 9x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -50 + 9x = -9 + 0 -50 + 9x = -9 Add '50' to each side of the equation. -50 + 50 + 9x = -9 + 50 Combine like terms: -50 + 50 = 0 0 + 9x = -9 + 50 9x = -9 + 50 Combine like terms: -9 + 50 = 41 9x = 41 Divide each side by '9'. x = 4.555555556 Simplifying x = 4.555555556
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