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Simplifying -8x + -29 = -4(x + 2) + -7x Reorder the terms: -29 + -8x = -4(x + 2) + -7x Reorder the terms: -29 + -8x = -4(2 + x) + -7x -29 + -8x = (2 * -4 + x * -4) + -7x -29 + -8x = (-8 + -4x) + -7x Combine like terms: -4x + -7x = -11x -29 + -8x = -8 + -11x Solving -29 + -8x = -8 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -29 + -8x + 11x = -8 + -11x + 11x Combine like terms: -8x + 11x = 3x -29 + 3x = -8 + -11x + 11x Combine like terms: -11x + 11x = 0 -29 + 3x = -8 + 0 -29 + 3x = -8 Add '29' to each side of the equation. -29 + 29 + 3x = -8 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = -8 + 29 3x = -8 + 29 Combine like terms: -8 + 29 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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