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Simplifying 2x + -6 + 3(x + 5) = 3x + x + 1 Reorder the terms: 2x + -6 + 3(5 + x) = 3x + x + 1 2x + -6 + (5 * 3 + x * 3) = 3x + x + 1 2x + -6 + (15 + 3x) = 3x + x + 1 Reorder the terms: -6 + 15 + 2x + 3x = 3x + x + 1 Combine like terms: -6 + 15 = 9 9 + 2x + 3x = 3x + x + 1 Combine like terms: 2x + 3x = 5x 9 + 5x = 3x + x + 1 Reorder the terms: 9 + 5x = 1 + 3x + x Combine like terms: 3x + x = 4x 9 + 5x = 1 + 4x Solving 9 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = 1 + 0 9 + 1x = 1 Add '-9' to each side of the equation. 9 + -9 + 1x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 1 + -9 1x = 1 + -9 Combine like terms: 1 + -9 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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