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Simplifying 2(x + -4) = -3(2x + 3) Reorder the terms: 2(-4 + x) = -3(2x + 3) (-4 * 2 + x * 2) = -3(2x + 3) (-8 + 2x) = -3(2x + 3) Reorder the terms: -8 + 2x = -3(3 + 2x) -8 + 2x = (3 * -3 + 2x * -3) -8 + 2x = (-9 + -6x) Solving -8 + 2x = -9 + -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. -8 + 2x + 6x = -9 + -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = -9 + 0 -8 + 8x = -9 Add '8' to each side of the equation. -8 + 8 + 8x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -9 + 8 8x = -9 + 8 Combine like terms: -9 + 8 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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