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Simplifying 5 + -3(x + -8) = 8x + 106 Reorder the terms: 5 + -3(-8 + x) = 8x + 106 5 + (-8 * -3 + x * -3) = 8x + 106 5 + (24 + -3x) = 8x + 106 Combine like terms: 5 + 24 = 29 29 + -3x = 8x + 106 Reorder the terms: 29 + -3x = 106 + 8x Solving 29 + -3x = 106 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 29 + -3x + -8x = 106 + 8x + -8x Combine like terms: -3x + -8x = -11x 29 + -11x = 106 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -11x = 106 + 0 29 + -11x = 106 Add '-29' to each side of the equation. 29 + -29 + -11x = 106 + -29 Combine like terms: 29 + -29 = 0 0 + -11x = 106 + -29 -11x = 106 + -29 Combine like terms: 106 + -29 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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