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Simplifying 2(4x + 1) = -5(3x + -4) + -2x Reorder the terms: 2(1 + 4x) = -5(3x + -4) + -2x (1 * 2 + 4x * 2) = -5(3x + -4) + -2x (2 + 8x) = -5(3x + -4) + -2x Reorder the terms: 2 + 8x = -5(-4 + 3x) + -2x 2 + 8x = (-4 * -5 + 3x * -5) + -2x 2 + 8x = (20 + -15x) + -2x Combine like terms: -15x + -2x = -17x 2 + 8x = 20 + -17x Solving 2 + 8x = 20 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 2 + 8x + 17x = 20 + -17x + 17x Combine like terms: 8x + 17x = 25x 2 + 25x = 20 + -17x + 17x Combine like terms: -17x + 17x = 0 2 + 25x = 20 + 0 2 + 25x = 20 Add '-2' to each side of the equation. 2 + -2 + 25x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 25x = 20 + -2 25x = 20 + -2 Combine like terms: 20 + -2 = 18 25x = 18 Divide each side by '25'. x = 0.72 Simplifying x = 0.72
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