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Simplifying 3(4 + -5x) = 4x + -1(4 + 3x + -1x) + 3x + 1 (4 * 3 + -5x * 3) = 4x + -1(4 + 3x + -1x) + 3x + 1 (12 + -15x) = 4x + -1(4 + 3x + -1x) + 3x + 1 Combine like terms: 3x + -1x = 2x 12 + -15x = 4x + -1(4 + 2x) + 3x + 1 12 + -15x = 4x + (4 * -1 + 2x * -1) + 3x + 1 12 + -15x = 4x + (-4 + -2x) + 3x + 1 Reorder the terms: 12 + -15x = -4 + 1 + 4x + -2x + 3x Combine like terms: -4 + 1 = -3 12 + -15x = -3 + 4x + -2x + 3x Combine like terms: 4x + -2x = 2x 12 + -15x = -3 + 2x + 3x Combine like terms: 2x + 3x = 5x 12 + -15x = -3 + 5x Solving 12 + -15x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -15x + -5x = -3 + 5x + -5x Combine like terms: -15x + -5x = -20x 12 + -20x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -20x = -3 + 0 12 + -20x = -3 Add '-12' to each side of the equation. 12 + -12 + -20x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -20x = -3 + -12 -20x = -3 + -12 Combine like terms: -3 + -12 = -15 -20x = -15 Divide each side by '-20'. x = 0.75 Simplifying x = 0.75
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