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Simplifying 2(3x + 4) + -1x + 6 = 5x + -2(x + 1) + 5 Reorder the terms: 2(4 + 3x) + -1x + 6 = 5x + -2(x + 1) + 5 (4 * 2 + 3x * 2) + -1x + 6 = 5x + -2(x + 1) + 5 (8 + 6x) + -1x + 6 = 5x + -2(x + 1) + 5 Reorder the terms: 8 + 6 + 6x + -1x = 5x + -2(x + 1) + 5 Combine like terms: 8 + 6 = 14 14 + 6x + -1x = 5x + -2(x + 1) + 5 Combine like terms: 6x + -1x = 5x 14 + 5x = 5x + -2(x + 1) + 5 Reorder the terms: 14 + 5x = 5x + -2(1 + x) + 5 14 + 5x = 5x + (1 * -2 + x * -2) + 5 14 + 5x = 5x + (-2 + -2x) + 5 Reorder the terms: 14 + 5x = -2 + 5 + 5x + -2x Combine like terms: -2 + 5 = 3 14 + 5x = 3 + 5x + -2x Combine like terms: 5x + -2x = 3x 14 + 5x = 3 + 3x Solving 14 + 5x = 3 + 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. 14 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 2x = 3 + 0 14 + 2x = 3 Add '-14' to each side of the equation. 14 + -14 + 2x = 3 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 3 + -14 2x = 3 + -14 Combine like terms: 3 + -14 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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