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Simplifying -3x + 6x + 24 = -4x + 12x + 15 Reorder the terms: 24 + -3x + 6x = -4x + 12x + 15 Combine like terms: -3x + 6x = 3x 24 + 3x = -4x + 12x + 15 Reorder the terms: 24 + 3x = 15 + -4x + 12x Combine like terms: -4x + 12x = 8x 24 + 3x = 15 + 8x Solving 24 + 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. 24 + 3x + -8x = 15 + 8x + -8x Combine like terms: 3x + -8x = -5x 24 + -5x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -5x = 15 + 0 24 + -5x = 15 Add '-24' to each side of the equation. 24 + -24 + -5x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 15 + -24 -5x = 15 + -24 Combine like terms: 15 + -24 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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