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Simplifying 3(4x + 5) + -12x = 32x(4 + -3) Reorder the terms: 3(5 + 4x) + -12x = 32x(4 + -3) (5 * 3 + 4x * 3) + -12x = 32x(4 + -3) (15 + 12x) + -12x = 32x(4 + -3) Combine like terms: 12x + -12x = 0 15 + 0 = 32x(4 + -3) 15 = 32x(4 + -3) Combine like terms: 4 + -3 = 1 15 = 32x(1) Reorder the terms for easier multiplication: 15 = 32 * 1x Multiply 32 * 1 15 = 32x Solving 15 = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 15 + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 15 + -32x = 0 Add '-15' to each side of the equation. 15 + -15 + -32x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -32x = 0 + -15 -32x = 0 + -15 Combine like terms: 0 + -15 = -15 -32x = -15 Divide each side by '-32'. x = 0.46875 Simplifying x = 0.46875
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