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Simplifying (3x + 4) * 2 + (5x + -1) * 2 = 38 + x Reorder the terms: (4 + 3x) * 2 + (5x + -1) * 2 = 38 + x Reorder the terms for easier multiplication: 2(4 + 3x) + (5x + -1) * 2 = 38 + x (4 * 2 + 3x * 2) + (5x + -1) * 2 = 38 + x (8 + 6x) + (5x + -1) * 2 = 38 + x Reorder the terms: 8 + 6x + (-1 + 5x) * 2 = 38 + x Reorder the terms for easier multiplication: 8 + 6x + 2(-1 + 5x) = 38 + x 8 + 6x + (-1 * 2 + 5x * 2) = 38 + x 8 + 6x + (-2 + 10x) = 38 + x Reorder the terms: 8 + -2 + 6x + 10x = 38 + x Combine like terms: 8 + -2 = 6 6 + 6x + 10x = 38 + x Combine like terms: 6x + 10x = 16x 6 + 16x = 38 + x Solving 6 + 16x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 16x + -1x = 38 + x + -1x Combine like terms: 16x + -1x = 15x 6 + 15x = 38 + x + -1x Combine like terms: x + -1x = 0 6 + 15x = 38 + 0 6 + 15x = 38 Add '-6' to each side of the equation. 6 + -6 + 15x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 38 + -6 15x = 38 + -6 Combine like terms: 38 + -6 = 32 15x = 32 Divide each side by '15'. x = 2.133333333 Simplifying x = 2.133333333
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