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Simplifying 2(3x + -1) + 2(x + 1) = x + 6 + 3x + 5 + 3x + 4 Reorder the terms: 2(-1 + 3x) + 2(x + 1) = x + 6 + 3x + 5 + 3x + 4 (-1 * 2 + 3x * 2) + 2(x + 1) = x + 6 + 3x + 5 + 3x + 4 (-2 + 6x) + 2(x + 1) = x + 6 + 3x + 5 + 3x + 4 Reorder the terms: -2 + 6x + 2(1 + x) = x + 6 + 3x + 5 + 3x + 4 -2 + 6x + (1 * 2 + x * 2) = x + 6 + 3x + 5 + 3x + 4 -2 + 6x + (2 + 2x) = x + 6 + 3x + 5 + 3x + 4 Reorder the terms: -2 + 2 + 6x + 2x = x + 6 + 3x + 5 + 3x + 4 Combine like terms: -2 + 2 = 0 0 + 6x + 2x = x + 6 + 3x + 5 + 3x + 4 6x + 2x = x + 6 + 3x + 5 + 3x + 4 Combine like terms: 6x + 2x = 8x 8x = x + 6 + 3x + 5 + 3x + 4 Reorder the terms: 8x = 6 + 5 + 4 + x + 3x + 3x Combine like terms: 6 + 5 = 11 8x = 11 + 4 + x + 3x + 3x Combine like terms: 11 + 4 = 15 8x = 15 + x + 3x + 3x Combine like terms: x + 3x = 4x 8x = 15 + 4x + 3x Combine like terms: 4x + 3x = 7x 8x = 15 + 7x Solving 8x = 15 + 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 = 15 + 7x + -7x Combine like terms: 8x + -7x = 1x 1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 1x = 15 + 0 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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