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Simplifying 4(4x + -6) + 3(2x + -3) = 0 Reorder the terms: 4(-6 + 4x) + 3(2x + -3) = 0 (-6 * 4 + 4x * 4) + 3(2x + -3) = 0 (-24 + 16x) + 3(2x + -3) = 0 Reorder the terms: -24 + 16x + 3(-3 + 2x) = 0 -24 + 16x + (-3 * 3 + 2x * 3) = 0 -24 + 16x + (-9 + 6x) = 0 Reorder the terms: -24 + -9 + 16x + 6x = 0 Combine like terms: -24 + -9 = -33 -33 + 16x + 6x = 0 Combine like terms: 16x + 6x = 22x -33 + 22x = 0 Solving -33 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 22x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 22x = 0 + 33 22x = 0 + 33 Combine like terms: 0 + 33 = 33 22x = 33 Divide each side by '22'. x = 1.5 Simplifying x = 1.5
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