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Simplifying 4(2x + -3) = -2(3x + -8) Reorder the terms: 4(-3 + 2x) = -2(3x + -8) (-3 * 4 + 2x * 4) = -2(3x + -8) (-12 + 8x) = -2(3x + -8) Reorder the terms: -12 + 8x = -2(-8 + 3x) -12 + 8x = (-8 * -2 + 3x * -2) -12 + 8x = (16 + -6x) Solving -12 + 8x = 16 + -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. -12 + 8x + 6x = 16 + -6x + 6x Combine like terms: 8x + 6x = 14x -12 + 14x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 14x = 16 + 0 -12 + 14x = 16 Add '12' to each side of the equation. -12 + 12 + 14x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 16 + 12 14x = 16 + 12 Combine like terms: 16 + 12 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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