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Simplifying 17x + -8 + -1(x + -2) = 2x + 7 + -10 + 12x Reorder the terms: 17x + -8 + -1(-2 + x) = 2x + 7 + -10 + 12x 17x + -8 + (-2 * -1 + x * -1) = 2x + 7 + -10 + 12x 17x + -8 + (2 + -1x) = 2x + 7 + -10 + 12x Reorder the terms: -8 + 2 + 17x + -1x = 2x + 7 + -10 + 12x Combine like terms: -8 + 2 = -6 -6 + 17x + -1x = 2x + 7 + -10 + 12x Combine like terms: 17x + -1x = 16x -6 + 16x = 2x + 7 + -10 + 12x Reorder the terms: -6 + 16x = 7 + -10 + 2x + 12x Combine like terms: 7 + -10 = -3 -6 + 16x = -3 + 2x + 12x Combine like terms: 2x + 12x = 14x -6 + 16x = -3 + 14x Solving -6 + 16x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 16x + -14x = -3 + 14x + -14x Combine like terms: 16x + -14x = 2x -6 + 2x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + 2x = -3 + 0 -6 + 2x = -3 Add '6' to each side of the equation. -6 + 6 + 2x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -3 + 6 2x = -3 + 6 Combine like terms: -3 + 6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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