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Simplifying 4(x + -2) = 8 + -3(2 + -3x) Reorder the terms: 4(-2 + x) = 8 + -3(2 + -3x) (-2 * 4 + x * 4) = 8 + -3(2 + -3x) (-8 + 4x) = 8 + -3(2 + -3x) -8 + 4x = 8 + (2 * -3 + -3x * -3) -8 + 4x = 8 + (-6 + 9x) Combine like terms: 8 + -6 = 2 -8 + 4x = 2 + 9x Solving -8 + 4x = 2 + 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. -8 + 4x + -9x = 2 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = 2 + 0 -8 + -5x = 2 Add '8' to each side of the equation. -8 + 8 + -5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 2 + 8 -5x = 2 + 8 Combine like terms: 2 + 8 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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