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Simplifying 4(3x + -4) + -48 = 5x + -2 Reorder the terms: 4(-4 + 3x) + -48 = 5x + -2 (-4 * 4 + 3x * 4) + -48 = 5x + -2 (-16 + 12x) + -48 = 5x + -2 Reorder the terms: -16 + -48 + 12x = 5x + -2 Combine like terms: -16 + -48 = -64 -64 + 12x = 5x + -2 Reorder the terms: -64 + 12x = -2 + 5x Solving -64 + 12x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -64 + 12x + -5x = -2 + 5x + -5x Combine like terms: 12x + -5x = 7x -64 + 7x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -64 + 7x = -2 + 0 -64 + 7x = -2 Add '64' to each side of the equation. -64 + 64 + 7x = -2 + 64 Combine like terms: -64 + 64 = 0 0 + 7x = -2 + 64 7x = -2 + 64 Combine like terms: -2 + 64 = 62 7x = 62 Divide each side by '7'. x = 8.857142857 Simplifying x = 8.857142857
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