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Simplifying 3 + -1(x + 8) + 2x = 5 + -3(x + 1) Reorder the terms: 3 + -1(8 + x) + 2x = 5 + -3(x + 1) 3 + (8 * -1 + x * -1) + 2x = 5 + -3(x + 1) 3 + (-8 + -1x) + 2x = 5 + -3(x + 1) Combine like terms: 3 + -8 = -5 -5 + -1x + 2x = 5 + -3(x + 1) Combine like terms: -1x + 2x = 1x -5 + 1x = 5 + -3(x + 1) Reorder the terms: -5 + 1x = 5 + -3(1 + x) -5 + 1x = 5 + (1 * -3 + x * -3) -5 + 1x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 -5 + 1x = 2 + -3x Solving -5 + 1x = 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. -5 + 1x + 3x = 2 + -3x + 3x Combine like terms: 1x + 3x = 4x -5 + 4x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 4x = 2 + 0 -5 + 4x = 2 Add '5' to each side of the equation. -5 + 5 + 4x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 2 + 5 4x = 2 + 5 Combine like terms: 2 + 5 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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