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