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Simplifying 4 + -3x + 5 + 3x + 10x + 6 = 3x + 12 + 5 + 3x + 7 + -8x Reorder the terms: 4 + 5 + 6 + -3x + 3x + 10x = 3x + 12 + 5 + 3x + 7 + -8x Combine like terms: 4 + 5 = 9 9 + 6 + -3x + 3x + 10x = 3x + 12 + 5 + 3x + 7 + -8x Combine like terms: 9 + 6 = 15 15 + -3x + 3x + 10x = 3x + 12 + 5 + 3x + 7 + -8x Combine like terms: -3x + 3x = 0 15 + 0 + 10x = 3x + 12 + 5 + 3x + 7 + -8x 15 + 10x = 3x + 12 + 5 + 3x + 7 + -8x Reorder the terms: 15 + 10x = 12 + 5 + 7 + 3x + 3x + -8x Combine like terms: 12 + 5 = 17 15 + 10x = 17 + 7 + 3x + 3x + -8x Combine like terms: 17 + 7 = 24 15 + 10x = 24 + 3x + 3x + -8x Combine like terms: 3x + 3x = 6x 15 + 10x = 24 + 6x + -8x Combine like terms: 6x + -8x = -2x 15 + 10x = 24 + -2x Solving 15 + 10x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 10x + 2x = 24 + -2x + 2x Combine like terms: 10x + 2x = 12x 15 + 12x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 12x = 24 + 0 15 + 12x = 24 Add '-15' to each side of the equation. 15 + -15 + 12x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 24 + -15 12x = 24 + -15 Combine like terms: 24 + -15 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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