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Simplifying 2 + 3x + -5(x + -3) = 6x + 1 Reorder the terms: 2 + 3x + -5(-3 + x) = 6x + 1 2 + 3x + (-3 * -5 + x * -5) = 6x + 1 2 + 3x + (15 + -5x) = 6x + 1 Reorder the terms: 2 + 15 + 3x + -5x = 6x + 1 Combine like terms: 2 + 15 = 17 17 + 3x + -5x = 6x + 1 Combine like terms: 3x + -5x = -2x 17 + -2x = 6x + 1 Reorder the terms: 17 + -2x = 1 + 6x Solving 17 + -2x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + -2x + -6x = 1 + 6x + -6x Combine like terms: -2x + -6x = -8x 17 + -8x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -8x = 1 + 0 17 + -8x = 1 Add '-17' to each side of the equation. 17 + -17 + -8x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 1 + -17 -8x = 1 + -17 Combine like terms: 1 + -17 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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