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Simplifying -1 + 5(4x + 3) = 2(4x + -5) + 6 Reorder the terms: -1 + 5(3 + 4x) = 2(4x + -5) + 6 -1 + (3 * 5 + 4x * 5) = 2(4x + -5) + 6 -1 + (15 + 20x) = 2(4x + -5) + 6 Combine like terms: -1 + 15 = 14 14 + 20x = 2(4x + -5) + 6 Reorder the terms: 14 + 20x = 2(-5 + 4x) + 6 14 + 20x = (-5 * 2 + 4x * 2) + 6 14 + 20x = (-10 + 8x) + 6 Reorder the terms: 14 + 20x = -10 + 6 + 8x Combine like terms: -10 + 6 = -4 14 + 20x = -4 + 8x Solving 14 + 20x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 20x + -8x = -4 + 8x + -8x Combine like terms: 20x + -8x = 12x 14 + 12x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 12x = -4 + 0 14 + 12x = -4 Add '-14' to each side of the equation. 14 + -14 + 12x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -4 + -14 12x = -4 + -14 Combine like terms: -4 + -14 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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