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