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Simplifying 4(3x + -3) + -48 = 6x + -2 Reorder the terms: 4(-3 + 3x) + -48 = 6x + -2 (-3 * 4 + 3x * 4) + -48 = 6x + -2 (-12 + 12x) + -48 = 6x + -2 Reorder the terms: -12 + -48 + 12x = 6x + -2 Combine like terms: -12 + -48 = -60 -60 + 12x = 6x + -2 Reorder the terms: -60 + 12x = -2 + 6x Solving -60 + 12x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x -60 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 6x = -2 + 0 -60 + 6x = -2 Add '60' to each side of the equation. -60 + 60 + 6x = -2 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = -2 + 60 6x = -2 + 60 Combine like terms: -2 + 60 = 58 6x = 58 Divide each side by '6'. x = 9.666666667 Simplifying x = 9.666666667
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