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Simplifying 4(5x + 3) = 3(2x + -5) + -1x Reorder the terms: 4(3 + 5x) = 3(2x + -5) + -1x (3 * 4 + 5x * 4) = 3(2x + -5) + -1x (12 + 20x) = 3(2x + -5) + -1x Reorder the terms: 12 + 20x = 3(-5 + 2x) + -1x 12 + 20x = (-5 * 3 + 2x * 3) + -1x 12 + 20x = (-15 + 6x) + -1x Combine like terms: 6x + -1x = 5x 12 + 20x = -15 + 5x Solving 12 + 20x = -15 + 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 + 20x + -5x = -15 + 5x + -5x Combine like terms: 20x + -5x = 15x 12 + 15x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 15x = -15 + 0 12 + 15x = -15 Add '-12' to each side of the equation. 12 + -12 + 15x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = -15 + -12 15x = -15 + -12 Combine like terms: -15 + -12 = -27 15x = -27 Divide each side by '15'. x = -1.8 Simplifying x = -1.8
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