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Simplifying 4(2x + -3) + -2(x + 1) = 0 Reorder the terms: 4(-3 + 2x) + -2(x + 1) = 0 (-3 * 4 + 2x * 4) + -2(x + 1) = 0 (-12 + 8x) + -2(x + 1) = 0 Reorder the terms: -12 + 8x + -2(1 + x) = 0 -12 + 8x + (1 * -2 + x * -2) = 0 -12 + 8x + (-2 + -2x) = 0 Reorder the terms: -12 + -2 + 8x + -2x = 0 Combine like terms: -12 + -2 = -14 -14 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -14 + 6x = 0 Solving -14 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 0 + 14 6x = 0 + 14 Combine like terms: 0 + 14 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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