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Simplifying 6x + 24 = 3(1 + -3x) + 12 Reorder the terms: 24 + 6x = 3(1 + -3x) + 12 24 + 6x = (1 * 3 + -3x * 3) + 12 24 + 6x = (3 + -9x) + 12 Reorder the terms: 24 + 6x = 3 + 12 + -9x Combine like terms: 3 + 12 = 15 24 + 6x = 15 + -9x Solving 24 + 6x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 24 + 6x + 9x = 15 + -9x + 9x Combine like terms: 6x + 9x = 15x 24 + 15x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + 15x = 15 + 0 24 + 15x = 15 Add '-24' to each side of the equation. 24 + -24 + 15x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 15 + -24 15x = 15 + -24 Combine like terms: 15 + -24 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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