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Simplifying 4(2x + -1) + 2x = -2(4x + 3) Reorder the terms: 4(-1 + 2x) + 2x = -2(4x + 3) (-1 * 4 + 2x * 4) + 2x = -2(4x + 3) (-4 + 8x) + 2x = -2(4x + 3) Combine like terms: 8x + 2x = 10x -4 + 10x = -2(4x + 3) Reorder the terms: -4 + 10x = -2(3 + 4x) -4 + 10x = (3 * -2 + 4x * -2) -4 + 10x = (-6 + -8x) Solving -4 + 10x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 10x + 8x = -6 + -8x + 8x Combine like terms: 10x + 8x = 18x -4 + 18x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 18x = -6 + 0 -4 + 18x = -6 Add '4' to each side of the equation. -4 + 4 + 18x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -6 + 4 18x = -6 + 4 Combine like terms: -6 + 4 = -2 18x = -2 Divide each side by '18'. x = -0.1111111111 Simplifying x = -0.1111111111
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