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Simplifying 6(x + 3) = 10x + 24 Reorder the terms: 6(3 + x) = 10x + 24 (3 * 6 + x * 6) = 10x + 24 (18 + 6x) = 10x + 24 Reorder the terms: 18 + 6x = 24 + 10x Solving 18 + 6x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 6x + -10x = 24 + 10x + -10x Combine like terms: 6x + -10x = -4x 18 + -4x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -4x = 24 + 0 18 + -4x = 24 Add '-18' to each side of the equation. 18 + -18 + -4x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 24 + -18 -4x = 24 + -18 Combine like terms: 24 + -18 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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