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Simplifying 3x + 2(3 + -1x) = x + -3 + 5x + 17 3x + (3 * 2 + -1x * 2) = x + -3 + 5x + 17 3x + (6 + -2x) = x + -3 + 5x + 17 Reorder the terms: 6 + 3x + -2x = x + -3 + 5x + 17 Combine like terms: 3x + -2x = 1x 6 + 1x = x + -3 + 5x + 17 Reorder the terms: 6 + 1x = -3 + 17 + x + 5x Combine like terms: -3 + 17 = 14 6 + 1x = 14 + x + 5x Combine like terms: x + 5x = 6x 6 + 1x = 14 + 6x Solving 6 + 1x = 14 + 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. 6 + 1x + -6x = 14 + 6x + -6x Combine like terms: 1x + -6x = -5x 6 + -5x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -5x = 14 + 0 6 + -5x = 14 Add '-6' to each side of the equation. 6 + -6 + -5x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 14 + -6 -5x = 14 + -6 Combine like terms: 14 + -6 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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