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Simplifying 4(2x + -1) + -3(2x + -1) = 2 Reorder the terms: 4(-1 + 2x) + -3(2x + -1) = 2 (-1 * 4 + 2x * 4) + -3(2x + -1) = 2 (-4 + 8x) + -3(2x + -1) = 2 Reorder the terms: -4 + 8x + -3(-1 + 2x) = 2 -4 + 8x + (-1 * -3 + 2x * -3) = 2 -4 + 8x + (3 + -6x) = 2 Reorder the terms: -4 + 3 + 8x + -6x = 2 Combine like terms: -4 + 3 = -1 -1 + 8x + -6x = 2 Combine like terms: 8x + -6x = 2x -1 + 2x = 2 Solving -1 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 2 + 1 2x = 2 + 1 Combine like terms: 2 + 1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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