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Simplifying 4(2x + -6) = 3(4 + -1x) + -3 Reorder the terms: 4(-6 + 2x) = 3(4 + -1x) + -3 (-6 * 4 + 2x * 4) = 3(4 + -1x) + -3 (-24 + 8x) = 3(4 + -1x) + -3 -24 + 8x = (4 * 3 + -1x * 3) + -3 -24 + 8x = (12 + -3x) + -3 Reorder the terms: -24 + 8x = 12 + -3 + -3x Combine like terms: 12 + -3 = 9 -24 + 8x = 9 + -3x Solving -24 + 8x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 8x + 3x = 9 + -3x + 3x Combine like terms: 8x + 3x = 11x -24 + 11x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 11x = 9 + 0 -24 + 11x = 9 Add '24' to each side of the equation. -24 + 24 + 11x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 9 + 24 11x = 9 + 24 Combine like terms: 9 + 24 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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