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Simplifying 5x + -2(x + 1) = 2 + -1(x + -5) Reorder the terms: 5x + -2(1 + x) = 2 + -1(x + -5) 5x + (1 * -2 + x * -2) = 2 + -1(x + -5) 5x + (-2 + -2x) = 2 + -1(x + -5) Reorder the terms: -2 + 5x + -2x = 2 + -1(x + -5) Combine like terms: 5x + -2x = 3x -2 + 3x = 2 + -1(x + -5) Reorder the terms: -2 + 3x = 2 + -1(-5 + x) -2 + 3x = 2 + (-5 * -1 + x * -1) -2 + 3x = 2 + (5 + -1x) Combine like terms: 2 + 5 = 7 -2 + 3x = 7 + -1x Solving -2 + 3x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 3x + x = 7 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = 7 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = 7 + 0 -2 + 4x = 7 Add '2' to each side of the equation. -2 + 2 + 4x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 7 + 2 4x = 7 + 2 Combine like terms: 7 + 2 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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