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Simplifying 29 = 8(6 + -1x) + -5(-3x + 1) 29 = (6 * 8 + -1x * 8) + -5(-3x + 1) 29 = (48 + -8x) + -5(-3x + 1) Reorder the terms: 29 = 48 + -8x + -5(1 + -3x) 29 = 48 + -8x + (1 * -5 + -3x * -5) 29 = 48 + -8x + (-5 + 15x) Reorder the terms: 29 = 48 + -5 + -8x + 15x Combine like terms: 48 + -5 = 43 29 = 43 + -8x + 15x Combine like terms: -8x + 15x = 7x 29 = 43 + 7x Solving 29 = 43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 29 + -7x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -7x = 43 + 0 29 + -7x = 43 Add '-29' to each side of the equation. 29 + -29 + -7x = 43 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = 43 + -29 -7x = 43 + -29 Combine like terms: 43 + -29 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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