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Simplifying 2x + 4(x + -1) = -8(2x + 3) Reorder the terms: 2x + 4(-1 + x) = -8(2x + 3) 2x + (-1 * 4 + x * 4) = -8(2x + 3) 2x + (-4 + 4x) = -8(2x + 3) Reorder the terms: -4 + 2x + 4x = -8(2x + 3) Combine like terms: 2x + 4x = 6x -4 + 6x = -8(2x + 3) Reorder the terms: -4 + 6x = -8(3 + 2x) -4 + 6x = (3 * -8 + 2x * -8) -4 + 6x = (-24 + -16x) Solving -4 + 6x = -24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -4 + 6x + 16x = -24 + -16x + 16x Combine like terms: 6x + 16x = 22x -4 + 22x = -24 + -16x + 16x Combine like terms: -16x + 16x = 0 -4 + 22x = -24 + 0 -4 + 22x = -24 Add '4' to each side of the equation. -4 + 4 + 22x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 22x = -24 + 4 22x = -24 + 4 Combine like terms: -24 + 4 = -20 22x = -20 Divide each side by '22'. x = -0.9090909091 Simplifying x = -0.9090909091
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