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Simplifying 3x + -1(5 + -2x) = 4(2x + 2) + 3 3x + (5 * -1 + -2x * -1) = 4(2x + 2) + 3 3x + (-5 + 2x) = 4(2x + 2) + 3 Reorder the terms: -5 + 3x + 2x = 4(2x + 2) + 3 Combine like terms: 3x + 2x = 5x -5 + 5x = 4(2x + 2) + 3 Reorder the terms: -5 + 5x = 4(2 + 2x) + 3 -5 + 5x = (2 * 4 + 2x * 4) + 3 -5 + 5x = (8 + 8x) + 3 Reorder the terms: -5 + 5x = 8 + 3 + 8x Combine like terms: 8 + 3 = 11 -5 + 5x = 11 + 8x Solving -5 + 5x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 5x + -8x = 11 + 8x + -8x Combine like terms: 5x + -8x = -3x -5 + -3x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -3x = 11 + 0 -5 + -3x = 11 Add '5' to each side of the equation. -5 + 5 + -3x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 11 + 5 -3x = 11 + 5 Combine like terms: 11 + 5 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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