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Simplifying 5(17 + -3x) = 5(10 + -6x) (17 * 5 + -3x * 5) = 5(10 + -6x) (85 + -15x) = 5(10 + -6x) 85 + -15x = (10 * 5 + -6x * 5) 85 + -15x = (50 + -30x) Solving 85 + -15x = 50 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 85 + -15x + 30x = 50 + -30x + 30x Combine like terms: -15x + 30x = 15x 85 + 15x = 50 + -30x + 30x Combine like terms: -30x + 30x = 0 85 + 15x = 50 + 0 85 + 15x = 50 Add '-85' to each side of the equation. 85 + -85 + 15x = 50 + -85 Combine like terms: 85 + -85 = 0 0 + 15x = 50 + -85 15x = 50 + -85 Combine like terms: 50 + -85 = -35 15x = -35 Divide each side by '15'. x = -2.333333333 Simplifying x = -2.333333333
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