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Simplifying 24 + 3x = -6(-3x + 6) Reorder the terms: 24 + 3x = -6(6 + -3x) 24 + 3x = (6 * -6 + -3x * -6) 24 + 3x = (-36 + 18x) Solving 24 + 3x = -36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + 3x + -18x = -36 + 18x + -18x Combine like terms: 3x + -18x = -15x 24 + -15x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -15x = -36 + 0 24 + -15x = -36 Add '-24' to each side of the equation. 24 + -24 + -15x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -36 + -24 -15x = -36 + -24 Combine like terms: -36 + -24 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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