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Simplifying 4(2x + -6) = -3(7 + -3x) Reorder the terms: 4(-6 + 2x) = -3(7 + -3x) (-6 * 4 + 2x * 4) = -3(7 + -3x) (-24 + 8x) = -3(7 + -3x) -24 + 8x = (7 * -3 + -3x * -3) -24 + 8x = (-21 + 9x) Solving -24 + 8x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 8x + -9x = -21 + 9x + -9x Combine like terms: 8x + -9x = -1x -24 + -1x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -1x = -21 + 0 -24 + -1x = -21 Add '24' to each side of the equation. -24 + 24 + -1x = -21 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -21 + 24 -1x = -21 + 24 Combine like terms: -21 + 24 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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