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Simplifying 17 = -5(3x + -7) + 6(-8 + 5x) Reorder the terms: 17 = -5(-7 + 3x) + 6(-8 + 5x) 17 = (-7 * -5 + 3x * -5) + 6(-8 + 5x) 17 = (35 + -15x) + 6(-8 + 5x) 17 = 35 + -15x + (-8 * 6 + 5x * 6) 17 = 35 + -15x + (-48 + 30x) Reorder the terms: 17 = 35 + -48 + -15x + 30x Combine like terms: 35 + -48 = -13 17 = -13 + -15x + 30x Combine like terms: -15x + 30x = 15x 17 = -13 + 15x Solving 17 = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + -15x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -15x = -13 + 0 17 + -15x = -13 Add '-17' to each side of the equation. 17 + -17 + -15x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -15x = -13 + -17 -15x = -13 + -17 Combine like terms: -13 + -17 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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