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Simplifying 17 + -1(6x + 3) = 3(x + -2) + -10 Reorder the terms: 17 + -1(3 + 6x) = 3(x + -2) + -10 17 + (3 * -1 + 6x * -1) = 3(x + -2) + -10 17 + (-3 + -6x) = 3(x + -2) + -10 Combine like terms: 17 + -3 = 14 14 + -6x = 3(x + -2) + -10 Reorder the terms: 14 + -6x = 3(-2 + x) + -10 14 + -6x = (-2 * 3 + x * 3) + -10 14 + -6x = (-6 + 3x) + -10 Reorder the terms: 14 + -6x = -6 + -10 + 3x Combine like terms: -6 + -10 = -16 14 + -6x = -16 + 3x Solving 14 + -6x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -6x + -3x = -16 + 3x + -3x Combine like terms: -6x + -3x = -9x 14 + -9x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -9x = -16 + 0 14 + -9x = -16 Add '-14' to each side of the equation. 14 + -14 + -9x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -16 + -14 -9x = -16 + -14 Combine like terms: -16 + -14 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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