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Simplifying -5(x + 2) + 4 = 3(x + 1) + -1 Reorder the terms: -5(2 + x) + 4 = 3(x + 1) + -1 (2 * -5 + x * -5) + 4 = 3(x + 1) + -1 (-10 + -5x) + 4 = 3(x + 1) + -1 Reorder the terms: -10 + 4 + -5x = 3(x + 1) + -1 Combine like terms: -10 + 4 = -6 -6 + -5x = 3(x + 1) + -1 Reorder the terms: -6 + -5x = 3(1 + x) + -1 -6 + -5x = (1 * 3 + x * 3) + -1 -6 + -5x = (3 + 3x) + -1 Reorder the terms: -6 + -5x = 3 + -1 + 3x Combine like terms: 3 + -1 = 2 -6 + -5x = 2 + 3x Solving -6 + -5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -5x + -3x = 2 + 3x + -3x Combine like terms: -5x + -3x = -8x -6 + -8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -8x = 2 + 0 -6 + -8x = 2 Add '6' to each side of the equation. -6 + 6 + -8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 2 + 6 -8x = 2 + 6 Combine like terms: 2 + 6 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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