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