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Simplifying 4(2x + -3) = -3(2x + 2) Reorder the terms: 4(-3 + 2x) = -3(2x + 2) (-3 * 4 + 2x * 4) = -3(2x + 2) (-12 + 8x) = -3(2x + 2) Reorder the terms: -12 + 8x = -3(2 + 2x) -12 + 8x = (2 * -3 + 2x * -3) -12 + 8x = (-6 + -6x) Solving -12 + 8x = -6 + -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 = -6 + -6x + 6x Combine like terms: 8x + 6x = 14x -12 + 14x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 14x = -6 + 0 -12 + 14x = -6 Add '12' to each side of the equation. -12 + 12 + 14x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -6 + 12 14x = -6 + 12 Combine like terms: -6 + 12 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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