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Simplifying 4(3x + -2) = 4x + -48 Reorder the terms: 4(-2 + 3x) = 4x + -48 (-2 * 4 + 3x * 4) = 4x + -48 (-8 + 12x) = 4x + -48 Reorder the terms: -8 + 12x = -48 + 4x Solving -8 + 12x = -48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 12x + -4x = -48 + 4x + -4x Combine like terms: 12x + -4x = 8x -8 + 8x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 8x = -48 + 0 -8 + 8x = -48 Add '8' to each side of the equation. -8 + 8 + 8x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -48 + 8 8x = -48 + 8 Combine like terms: -48 + 8 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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