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Simplifying 6(x + -3) = 24x + 54 Reorder the terms: 6(-3 + x) = 24x + 54 (-3 * 6 + x * 6) = 24x + 54 (-18 + 6x) = 24x + 54 Reorder the terms: -18 + 6x = 54 + 24x Solving -18 + 6x = 54 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -18 + 6x + -24x = 54 + 24x + -24x Combine like terms: 6x + -24x = -18x -18 + -18x = 54 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + -18x = 54 + 0 -18 + -18x = 54 Add '18' to each side of the equation. -18 + 18 + -18x = 54 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = 54 + 18 -18x = 54 + 18 Combine like terms: 54 + 18 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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