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Simplifying 4(2x + -1) + -2(x + 3) = 8x Reorder the terms: 4(-1 + 2x) + -2(x + 3) = 8x (-1 * 4 + 2x * 4) + -2(x + 3) = 8x (-4 + 8x) + -2(x + 3) = 8x Reorder the terms: -4 + 8x + -2(3 + x) = 8x -4 + 8x + (3 * -2 + x * -2) = 8x -4 + 8x + (-6 + -2x) = 8x Reorder the terms: -4 + -6 + 8x + -2x = 8x Combine like terms: -4 + -6 = -10 -10 + 8x + -2x = 8x Combine like terms: 8x + -2x = 6x -10 + 6x = 8x Solving -10 + 6x = 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. -10 + 6x + -8x = 8x + -8x Combine like terms: 6x + -8x = -2x -10 + -2x = 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -2x = 0 Add '10' to each side of the equation. -10 + 10 + -2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 0 + 10 -2x = 0 + 10 Combine like terms: 0 + 10 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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