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Simplifying 6(x + 8) + 3x = -29 + -2x Reorder the terms: 6(8 + x) + 3x = -29 + -2x (8 * 6 + x * 6) + 3x = -29 + -2x (48 + 6x) + 3x = -29 + -2x Combine like terms: 6x + 3x = 9x 48 + 9x = -29 + -2x Solving 48 + 9x = -29 + -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. 48 + 9x + 2x = -29 + -2x + 2x Combine like terms: 9x + 2x = 11x 48 + 11x = -29 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 11x = -29 + 0 48 + 11x = -29 Add '-48' to each side of the equation. 48 + -48 + 11x = -29 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = -29 + -48 11x = -29 + -48 Combine like terms: -29 + -48 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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