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Simplifying 24 + 2(x + -8) = 40 + -6x Reorder the terms: 24 + 2(-8 + x) = 40 + -6x 24 + (-8 * 2 + x * 2) = 40 + -6x 24 + (-16 + 2x) = 40 + -6x Combine like terms: 24 + -16 = 8 8 + 2x = 40 + -6x Solving 8 + 2x = 40 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 2x + 6x = 40 + -6x + 6x Combine like terms: 2x + 6x = 8x 8 + 8x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8x = 40 + 0 8 + 8x = 40 Add '-8' to each side of the equation. 8 + -8 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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