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Simplifying 24 + 3(x + -6) = 8x + -7x Reorder the terms: 24 + 3(-6 + x) = 8x + -7x 24 + (-6 * 3 + x * 3) = 8x + -7x 24 + (-18 + 3x) = 8x + -7x Combine like terms: 24 + -18 = 6 6 + 3x = 8x + -7x Combine like terms: 8x + -7x = 1x 6 + 3x = 1x Solving 6 + 3x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 3x + -1x = 1x + -1x Combine like terms: 3x + -1x = 2x 6 + 2x = 1x + -1x Combine like terms: 1x + -1x = 0 6 + 2x = 0 Add '-6' to each side of the equation. 6 + -6 + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 0 + -6 2x = 0 + -6 Combine like terms: 0 + -6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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