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Simplifying 2(3x + -2) + 2(x + 2) = x + 5 + 3x + 4 + 3x + 1 Reorder the terms: 2(-2 + 3x) + 2(x + 2) = x + 5 + 3x + 4 + 3x + 1 (-2 * 2 + 3x * 2) + 2(x + 2) = x + 5 + 3x + 4 + 3x + 1 (-4 + 6x) + 2(x + 2) = x + 5 + 3x + 4 + 3x + 1 Reorder the terms: -4 + 6x + 2(2 + x) = x + 5 + 3x + 4 + 3x + 1 -4 + 6x + (2 * 2 + x * 2) = x + 5 + 3x + 4 + 3x + 1 -4 + 6x + (4 + 2x) = x + 5 + 3x + 4 + 3x + 1 Reorder the terms: -4 + 4 + 6x + 2x = x + 5 + 3x + 4 + 3x + 1 Combine like terms: -4 + 4 = 0 0 + 6x + 2x = x + 5 + 3x + 4 + 3x + 1 6x + 2x = x + 5 + 3x + 4 + 3x + 1 Combine like terms: 6x + 2x = 8x 8x = x + 5 + 3x + 4 + 3x + 1 Reorder the terms: 8x = 5 + 4 + 1 + x + 3x + 3x Combine like terms: 5 + 4 = 9 8x = 9 + 1 + x + 3x + 3x Combine like terms: 9 + 1 = 10 8x = 10 + x + 3x + 3x Combine like terms: x + 3x = 4x 8x = 10 + 4x + 3x Combine like terms: 4x + 3x = 7x 8x = 10 + 7x Solving 8x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8x + -7x = 10 + 7x + -7x Combine like terms: 8x + -7x = 1x 1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 1x = 10 + 0 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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