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Simplifying -2(3x + 3) + -2(2 + -1x) = 3(4x + 3) + -1 Reorder the terms: -2(3 + 3x) + -2(2 + -1x) = 3(4x + 3) + -1 (3 * -2 + 3x * -2) + -2(2 + -1x) = 3(4x + 3) + -1 (-6 + -6x) + -2(2 + -1x) = 3(4x + 3) + -1 -6 + -6x + (2 * -2 + -1x * -2) = 3(4x + 3) + -1 -6 + -6x + (-4 + 2x) = 3(4x + 3) + -1 Reorder the terms: -6 + -4 + -6x + 2x = 3(4x + 3) + -1 Combine like terms: -6 + -4 = -10 -10 + -6x + 2x = 3(4x + 3) + -1 Combine like terms: -6x + 2x = -4x -10 + -4x = 3(4x + 3) + -1 Reorder the terms: -10 + -4x = 3(3 + 4x) + -1 -10 + -4x = (3 * 3 + 4x * 3) + -1 -10 + -4x = (9 + 12x) + -1 Reorder the terms: -10 + -4x = 9 + -1 + 12x Combine like terms: 9 + -1 = 8 -10 + -4x = 8 + 12x Solving -10 + -4x = 8 + 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. -10 + -4x + -12x = 8 + 12x + -12x Combine like terms: -4x + -12x = -16x -10 + -16x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -16x = 8 + 0 -10 + -16x = 8 Add '10' to each side of the equation. -10 + 10 + -16x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -16x = 8 + 10 -16x = 8 + 10 Combine like terms: 8 + 10 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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