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Simplifying 2(3x + -4) = -2(x + -3) Reorder the terms: 2(-4 + 3x) = -2(x + -3) (-4 * 2 + 3x * 2) = -2(x + -3) (-8 + 6x) = -2(x + -3) Reorder the terms: -8 + 6x = -2(-3 + x) -8 + 6x = (-3 * -2 + x * -2) -8 + 6x = (6 + -2x) Solving -8 + 6x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = 6 + 0 -8 + 8x = 6 Add '8' to each side of the equation. -8 + 8 + 8x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 6 + 8 8x = 6 + 8 Combine like terms: 6 + 8 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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