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Simplifying 7x + -29 + -21x = 5 + -2(6 + x) Reorder the terms: -29 + 7x + -21x = 5 + -2(6 + x) Combine like terms: 7x + -21x = -14x -29 + -14x = 5 + -2(6 + x) -29 + -14x = 5 + (6 * -2 + x * -2) -29 + -14x = 5 + (-12 + -2x) Combine like terms: 5 + -12 = -7 -29 + -14x = -7 + -2x Solving -29 + -14x = -7 + -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 = -7 + -2x + 2x Combine like terms: -14x + 2x = -12x -29 + -12x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -29 + -12x = -7 + 0 -29 + -12x = -7 Add '29' to each side of the equation. -29 + 29 + -12x = -7 + 29 Combine like terms: -29 + 29 = 0 0 + -12x = -7 + 29 -12x = -7 + 29 Combine like terms: -7 + 29 = 22 -12x = 22 Divide each side by '-12'. x = -1.833333333 Simplifying x = -1.833333333
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