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Simplifying 2(x + 1) + 2(x + -2) = x + 3 Reorder the terms: 2(1 + x) + 2(x + -2) = x + 3 (1 * 2 + x * 2) + 2(x + -2) = x + 3 (2 + 2x) + 2(x + -2) = x + 3 Reorder the terms: 2 + 2x + 2(-2 + x) = x + 3 2 + 2x + (-2 * 2 + x * 2) = x + 3 2 + 2x + (-4 + 2x) = x + 3 Reorder the terms: 2 + -4 + 2x + 2x = x + 3 Combine like terms: 2 + -4 = -2 -2 + 2x + 2x = x + 3 Combine like terms: 2x + 2x = 4x -2 + 4x = x + 3 Reorder the terms: -2 + 4x = 3 + x Solving -2 + 4x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 4x + -1x = 3 + x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 3 + x + -1x Combine like terms: x + -1x = 0 -2 + 3x = 3 + 0 -2 + 3x = 3 Add '2' to each side of the equation. -2 + 2 + 3x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 3 + 2 3x = 3 + 2 Combine like terms: 3 + 2 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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