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Simplifying 2(x + -2) + 2(x + 1) = 6 + -3x Reorder the terms: 2(-2 + x) + 2(x + 1) = 6 + -3x (-2 * 2 + x * 2) + 2(x + 1) = 6 + -3x (-4 + 2x) + 2(x + 1) = 6 + -3x Reorder the terms: -4 + 2x + 2(1 + x) = 6 + -3x -4 + 2x + (1 * 2 + x * 2) = 6 + -3x -4 + 2x + (2 + 2x) = 6 + -3x Reorder the terms: -4 + 2 + 2x + 2x = 6 + -3x Combine like terms: -4 + 2 = -2 -2 + 2x + 2x = 6 + -3x Combine like terms: 2x + 2x = 4x -2 + 4x = 6 + -3x Solving -2 + 4x = 6 + -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 = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x -2 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 7x = 6 + 0 -2 + 7x = 6 Add '2' to each side of the equation. -2 + 2 + 7x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 6 + 2 7x = 6 + 2 Combine like terms: 6 + 2 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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