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Simplifying -3(x + 2) + 4 = 5(x + 4) + 5 Reorder the terms: -3(2 + x) + 4 = 5(x + 4) + 5 (2 * -3 + x * -3) + 4 = 5(x + 4) + 5 (-6 + -3x) + 4 = 5(x + 4) + 5 Reorder the terms: -6 + 4 + -3x = 5(x + 4) + 5 Combine like terms: -6 + 4 = -2 -2 + -3x = 5(x + 4) + 5 Reorder the terms: -2 + -3x = 5(4 + x) + 5 -2 + -3x = (4 * 5 + x * 5) + 5 -2 + -3x = (20 + 5x) + 5 Reorder the terms: -2 + -3x = 20 + 5 + 5x Combine like terms: 20 + 5 = 25 -2 + -3x = 25 + 5x Solving -2 + -3x = 25 + 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. -2 + -3x + -5x = 25 + 5x + -5x Combine like terms: -3x + -5x = -8x -2 + -8x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -8x = 25 + 0 -2 + -8x = 25 Add '2' to each side of the equation. -2 + 2 + -8x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 25 + 2 -8x = 25 + 2 Combine like terms: 25 + 2 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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