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Simplifying 3(x + 4) + -8x = 10(x + 3) Reorder the terms: 3(4 + x) + -8x = 10(x + 3) (4 * 3 + x * 3) + -8x = 10(x + 3) (12 + 3x) + -8x = 10(x + 3) Combine like terms: 3x + -8x = -5x 12 + -5x = 10(x + 3) Reorder the terms: 12 + -5x = 10(3 + x) 12 + -5x = (3 * 10 + x * 10) 12 + -5x = (30 + 10x) Solving 12 + -5x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -5x + -10x = 30 + 10x + -10x Combine like terms: -5x + -10x = -15x 12 + -15x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -15x = 30 + 0 12 + -15x = 30 Add '-12' to each side of the equation. 12 + -12 + -15x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 30 + -12 -15x = 30 + -12 Combine like terms: 30 + -12 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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