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Simplifying 3x + -1(3x + 3) + -3 = 4(4x + 4) + -4x + 4 Reorder the terms: 3x + -1(3 + 3x) + -3 = 4(4x + 4) + -4x + 4 3x + (3 * -1 + 3x * -1) + -3 = 4(4x + 4) + -4x + 4 3x + (-3 + -3x) + -3 = 4(4x + 4) + -4x + 4 Reorder the terms: -3 + -3 + 3x + -3x = 4(4x + 4) + -4x + 4 Combine like terms: -3 + -3 = -6 -6 + 3x + -3x = 4(4x + 4) + -4x + 4 Combine like terms: 3x + -3x = 0 -6 + 0 = 4(4x + 4) + -4x + 4 -6 = 4(4x + 4) + -4x + 4 Reorder the terms: -6 = 4(4 + 4x) + -4x + 4 -6 = (4 * 4 + 4x * 4) + -4x + 4 -6 = (16 + 16x) + -4x + 4 Reorder the terms: -6 = 16 + 4 + 16x + -4x Combine like terms: 16 + 4 = 20 -6 = 20 + 16x + -4x Combine like terms: 16x + -4x = 12x -6 = 20 + 12x Solving -6 = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -12x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -12x = 20 + 0 -6 + -12x = 20 Add '6' to each side of the equation. -6 + 6 + -12x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 20 + 6 -12x = 20 + 6 Combine like terms: 20 + 6 = 26 -12x = 26 Divide each side by '-12'. x = -2.166666667 Simplifying x = -2.166666667
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