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Simplifying 4(2x + -3) = 8 + -3(2x + 3) Reorder the terms: 4(-3 + 2x) = 8 + -3(2x + 3) (-3 * 4 + 2x * 4) = 8 + -3(2x + 3) (-12 + 8x) = 8 + -3(2x + 3) Reorder the terms: -12 + 8x = 8 + -3(3 + 2x) -12 + 8x = 8 + (3 * -3 + 2x * -3) -12 + 8x = 8 + (-9 + -6x) Combine like terms: 8 + -9 = -1 -12 + 8x = -1 + -6x Solving -12 + 8x = -1 + -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 = -1 + -6x + 6x Combine like terms: 8x + 6x = 14x -12 + 14x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 14x = -1 + 0 -12 + 14x = -1 Add '12' to each side of the equation. -12 + 12 + 14x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -1 + 12 14x = -1 + 12 Combine like terms: -1 + 12 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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