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Simplifying 3(x + -2) + 24 = -9x + -15 + x Reorder the terms: 3(-2 + x) + 24 = -9x + -15 + x (-2 * 3 + x * 3) + 24 = -9x + -15 + x (-6 + 3x) + 24 = -9x + -15 + x Reorder the terms: -6 + 24 + 3x = -9x + -15 + x Combine like terms: -6 + 24 = 18 18 + 3x = -9x + -15 + x Reorder the terms: 18 + 3x = -15 + -9x + x Combine like terms: -9x + x = -8x 18 + 3x = -15 + -8x Solving 18 + 3x = -15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + 3x + 8x = -15 + -8x + 8x Combine like terms: 3x + 8x = 11x 18 + 11x = -15 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 11x = -15 + 0 18 + 11x = -15 Add '-18' to each side of the equation. 18 + -18 + 11x = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 11x = -15 + -18 11x = -15 + -18 Combine like terms: -15 + -18 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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