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Simplifying 17x + -4 + 3(x + 2) = 1 + -1x(2 + -16) + 3x Reorder the terms: 17x + -4 + 3(2 + x) = 1 + -1x(2 + -16) + 3x 17x + -4 + (2 * 3 + x * 3) = 1 + -1x(2 + -16) + 3x 17x + -4 + (6 + 3x) = 1 + -1x(2 + -16) + 3x Reorder the terms: -4 + 6 + 17x + 3x = 1 + -1x(2 + -16) + 3x Combine like terms: -4 + 6 = 2 2 + 17x + 3x = 1 + -1x(2 + -16) + 3x Combine like terms: 17x + 3x = 20x 2 + 20x = 1 + -1x(2 + -16) + 3x Combine like terms: 2 + -16 = -14 2 + 20x = 1 + -1x(-14) + 3x Reorder the terms for easier multiplication: 2 + 20x = 1 + -1 * -14x + 3x Multiply -1 * -14 2 + 20x = 1 + 14x + 3x Combine like terms: 14x + 3x = 17x 2 + 20x = 1 + 17x Solving 2 + 20x = 1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 2 + 20x + -17x = 1 + 17x + -17x Combine like terms: 20x + -17x = 3x 2 + 3x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 2 + 3x = 1 + 0 2 + 3x = 1 Add '-2' to each side of the equation. 2 + -2 + 3x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 1 + -2 3x = 1 + -2 Combine like terms: 1 + -2 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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