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Simplifying 4(x + -2) + -3(2x + -3) = 0 Reorder the terms: 4(-2 + x) + -3(2x + -3) = 0 (-2 * 4 + x * 4) + -3(2x + -3) = 0 (-8 + 4x) + -3(2x + -3) = 0 Reorder the terms: -8 + 4x + -3(-3 + 2x) = 0 -8 + 4x + (-3 * -3 + 2x * -3) = 0 -8 + 4x + (9 + -6x) = 0 Reorder the terms: -8 + 9 + 4x + -6x = 0 Combine like terms: -8 + 9 = 1 1 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x 1 + -2x = 0 Solving 1 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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