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Simplifying 17(x + 3) = 2x + -3(4 + -1x) + -7 Reorder the terms: 17(3 + x) = 2x + -3(4 + -1x) + -7 (3 * 17 + x * 17) = 2x + -3(4 + -1x) + -7 (51 + 17x) = 2x + -3(4 + -1x) + -7 51 + 17x = 2x + (4 * -3 + -1x * -3) + -7 51 + 17x = 2x + (-12 + 3x) + -7 Reorder the terms: 51 + 17x = -12 + -7 + 2x + 3x Combine like terms: -12 + -7 = -19 51 + 17x = -19 + 2x + 3x Combine like terms: 2x + 3x = 5x 51 + 17x = -19 + 5x Solving 51 + 17x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 51 + 17x + -5x = -19 + 5x + -5x Combine like terms: 17x + -5x = 12x 51 + 12x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + 12x = -19 + 0 51 + 12x = -19 Add '-51' to each side of the equation. 51 + -51 + 12x = -19 + -51 Combine like terms: 51 + -51 = 0 0 + 12x = -19 + -51 12x = -19 + -51 Combine like terms: -19 + -51 = -70 12x = -70 Divide each side by '12'. x = -5.833333333 Simplifying x = -5.833333333
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