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Simplifying 17 + -2(3x + 5) = 3x + -6 Reorder the terms: 17 + -2(5 + 3x) = 3x + -6 17 + (5 * -2 + 3x * -2) = 3x + -6 17 + (-10 + -6x) = 3x + -6 Combine like terms: 17 + -10 = 7 7 + -6x = 3x + -6 Reorder the terms: 7 + -6x = -6 + 3x Solving 7 + -6x = -6 + 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. 7 + -6x + -3x = -6 + 3x + -3x Combine like terms: -6x + -3x = -9x 7 + -9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -9x = -6 + 0 7 + -9x = -6 Add '-7' to each side of the equation. 7 + -7 + -9x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -6 + -7 -9x = -6 + -7 Combine like terms: -6 + -7 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444
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