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Simplifying 4(2x + -2) = 3x + -48 Reorder the terms: 4(-2 + 2x) = 3x + -48 (-2 * 4 + 2x * 4) = 3x + -48 (-8 + 8x) = 3x + -48 Reorder the terms: -8 + 8x = -48 + 3x Solving -8 + 8x = -48 + 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. -8 + 8x + -3x = -48 + 3x + -3x Combine like terms: 8x + -3x = 5x -8 + 5x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 5x = -48 + 0 -8 + 5x = -48 Add '8' to each side of the equation. -8 + 8 + 5x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -48 + 8 5x = -48 + 8 Combine like terms: -48 + 8 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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