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Simplifying 4(3x + 8) = 3(x + 10) + -3 Reorder the terms: 4(8 + 3x) = 3(x + 10) + -3 (8 * 4 + 3x * 4) = 3(x + 10) + -3 (32 + 12x) = 3(x + 10) + -3 Reorder the terms: 32 + 12x = 3(10 + x) + -3 32 + 12x = (10 * 3 + x * 3) + -3 32 + 12x = (30 + 3x) + -3 Reorder the terms: 32 + 12x = 30 + -3 + 3x Combine like terms: 30 + -3 = 27 32 + 12x = 27 + 3x Solving 32 + 12x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + 12x + -3x = 27 + 3x + -3x Combine like terms: 12x + -3x = 9x 32 + 9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 9x = 27 + 0 32 + 9x = 27 Add '-32' to each side of the equation. 32 + -32 + 9x = 27 + -32 Combine like terms: 32 + -32 = 0 0 + 9x = 27 + -32 9x = 27 + -32 Combine like terms: 27 + -32 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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