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Simplifying -3(x + 2) + 5 = 5(x + 4) + 1 Reorder the terms: -3(2 + x) + 5 = 5(x + 4) + 1 (2 * -3 + x * -3) + 5 = 5(x + 4) + 1 (-6 + -3x) + 5 = 5(x + 4) + 1 Reorder the terms: -6 + 5 + -3x = 5(x + 4) + 1 Combine like terms: -6 + 5 = -1 -1 + -3x = 5(x + 4) + 1 Reorder the terms: -1 + -3x = 5(4 + x) + 1 -1 + -3x = (4 * 5 + x * 5) + 1 -1 + -3x = (20 + 5x) + 1 Reorder the terms: -1 + -3x = 20 + 1 + 5x Combine like terms: 20 + 1 = 21 -1 + -3x = 21 + 5x Solving -1 + -3x = 21 + 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. -1 + -3x + -5x = 21 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 21 + 0 -1 + -8x = 21 Add '1' to each side of the equation. -1 + 1 + -8x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 21 + 1 -8x = 21 + 1 Combine like terms: 21 + 1 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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