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Simplifying 6(x + 4) = 8 + -3(x + -5) Reorder the terms: 6(4 + x) = 8 + -3(x + -5) (4 * 6 + x * 6) = 8 + -3(x + -5) (24 + 6x) = 8 + -3(x + -5) Reorder the terms: 24 + 6x = 8 + -3(-5 + x) 24 + 6x = 8 + (-5 * -3 + x * -3) 24 + 6x = 8 + (15 + -3x) Combine like terms: 8 + 15 = 23 24 + 6x = 23 + -3x Solving 24 + 6x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 6x + 3x = 23 + -3x + 3x Combine like terms: 6x + 3x = 9x 24 + 9x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 9x = 23 + 0 24 + 9x = 23 Add '-24' to each side of the equation. 24 + -24 + 9x = 23 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 23 + -24 9x = 23 + -24 Combine like terms: 23 + -24 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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