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Simplifying 4(2x + -1) + 2x = 3(2x + -2) Reorder the terms: 4(-1 + 2x) + 2x = 3(2x + -2) (-1 * 4 + 2x * 4) + 2x = 3(2x + -2) (-4 + 8x) + 2x = 3(2x + -2) Combine like terms: 8x + 2x = 10x -4 + 10x = 3(2x + -2) Reorder the terms: -4 + 10x = 3(-2 + 2x) -4 + 10x = (-2 * 3 + 2x * 3) -4 + 10x = (-6 + 6x) Solving -4 + 10x = -6 + 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. -4 + 10x + -6x = -6 + 6x + -6x Combine like terms: 10x + -6x = 4x -4 + 4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4x = -6 + 0 -4 + 4x = -6 Add '4' to each side of the equation. -4 + 4 + 4x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -6 + 4 4x = -6 + 4 Combine like terms: -6 + 4 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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