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Simplifying 4x + -2(1 + x) = 2(3x + -2) 4x + (1 * -2 + x * -2) = 2(3x + -2) 4x + (-2 + -2x) = 2(3x + -2) Reorder the terms: -2 + 4x + -2x = 2(3x + -2) Combine like terms: 4x + -2x = 2x -2 + 2x = 2(3x + -2) Reorder the terms: -2 + 2x = 2(-2 + 3x) -2 + 2x = (-2 * 2 + 3x * 2) -2 + 2x = (-4 + 6x) Solving -2 + 2x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2x + -6x = -4 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = -4 + 0 -2 + -4x = -4 Add '2' to each side of the equation. -2 + 2 + -4x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -4 + 2 -4x = -4 + 2 Combine like terms: -4 + 2 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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