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Simplifying 17 + -5(2x + -9) = 3 + -1(-3x + -7) Reorder the terms: 17 + -5(-9 + 2x) = 3 + -1(-3x + -7) 17 + (-9 * -5 + 2x * -5) = 3 + -1(-3x + -7) 17 + (45 + -10x) = 3 + -1(-3x + -7) Combine like terms: 17 + 45 = 62 62 + -10x = 3 + -1(-3x + -7) Reorder the terms: 62 + -10x = 3 + -1(-7 + -3x) 62 + -10x = 3 + (-7 * -1 + -3x * -1) 62 + -10x = 3 + (7 + 3x) Combine like terms: 3 + 7 = 10 62 + -10x = 10 + 3x Solving 62 + -10x = 10 + 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. 62 + -10x + -3x = 10 + 3x + -3x Combine like terms: -10x + -3x = -13x 62 + -13x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 62 + -13x = 10 + 0 62 + -13x = 10 Add '-62' to each side of the equation. 62 + -62 + -13x = 10 + -62 Combine like terms: 62 + -62 = 0 0 + -13x = 10 + -62 -13x = 10 + -62 Combine like terms: 10 + -62 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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