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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 = 11 11 + -1x + 2x = 5 + -3(x + 1) Combine like terms: -1x + 2x = 1x 11 + 1x = 5 + -3(x + 1) Reorder the terms: 11 + 1x = 5 + -3(1 + x) 11 + 1x = 5 + (1 * -3 + x * -3) 11 + 1x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 11 + 1x = 2 + -3x Solving 11 + 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. 11 + 1x + 3x = 2 + -3x + 3x Combine like terms: 1x + 3x = 4x 11 + 4x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 4x = 2 + 0 11 + 4x = 2 Add '-11' to each side of the equation. 11 + -11 + 4x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 2 + -11 4x = 2 + -11 Combine like terms: 2 + -11 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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