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Simplifying 3(4 + -5x) = 3(3x + 1) (4 * 3 + -5x * 3) = 3(3x + 1) (12 + -15x) = 3(3x + 1) Reorder the terms: 12 + -15x = 3(1 + 3x) 12 + -15x = (1 * 3 + 3x * 3) 12 + -15x = (3 + 9x) Solving 12 + -15x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -15x + -9x = 3 + 9x + -9x Combine like terms: -15x + -9x = -24x 12 + -24x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -24x = 3 + 0 12 + -24x = 3 Add '-12' to each side of the equation. 12 + -12 + -24x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = 3 + -12 -24x = 3 + -12 Combine like terms: 3 + -12 = -9 -24x = -9 Divide each side by '-24'. x = 0.375 Simplifying x = 0.375
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