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Simplifying -3(x + 2) + -4x = 2(x + 5) + 3x + 5 Reorder the terms: -3(2 + x) + -4x = 2(x + 5) + 3x + 5 (2 * -3 + x * -3) + -4x = 2(x + 5) + 3x + 5 (-6 + -3x) + -4x = 2(x + 5) + 3x + 5 Combine like terms: -3x + -4x = -7x -6 + -7x = 2(x + 5) + 3x + 5 Reorder the terms: -6 + -7x = 2(5 + x) + 3x + 5 -6 + -7x = (5 * 2 + x * 2) + 3x + 5 -6 + -7x = (10 + 2x) + 3x + 5 Reorder the terms: -6 + -7x = 10 + 5 + 2x + 3x Combine like terms: 10 + 5 = 15 -6 + -7x = 15 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + -7x = 15 + 5x Solving -6 + -7x = 15 + 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. -6 + -7x + -5x = 15 + 5x + -5x Combine like terms: -7x + -5x = -12x -6 + -12x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -12x = 15 + 0 -6 + -12x = 15 Add '6' to each side of the equation. -6 + 6 + -12x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 15 + 6 -12x = 15 + 6 Combine like terms: 15 + 6 = 21 -12x = 21 Divide each side by '-12'. x = -1.75 Simplifying x = -1.75
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