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Simplifying 2x + -1(4x + -2) = 5x + 3 Reorder the terms: 2x + -1(-2 + 4x) = 5x + 3 2x + (-2 * -1 + 4x * -1) = 5x + 3 2x + (2 + -4x) = 5x + 3 Reorder the terms: 2 + 2x + -4x = 5x + 3 Combine like terms: 2x + -4x = -2x 2 + -2x = 5x + 3 Reorder the terms: 2 + -2x = 3 + 5x Solving 2 + -2x = 3 + 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. 2 + -2x + -5x = 3 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = 3 + 0 2 + -7x = 3 Add '-2' to each side of the equation. 2 + -2 + -7x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 3 + -2 -7x = 3 + -2 Combine like terms: 3 + -2 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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