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Simplifying 6(x + 10) + 4(x + -5) = 170 Reorder the terms: 6(10 + x) + 4(x + -5) = 170 (10 * 6 + x * 6) + 4(x + -5) = 170 (60 + 6x) + 4(x + -5) = 170 Reorder the terms: 60 + 6x + 4(-5 + x) = 170 60 + 6x + (-5 * 4 + x * 4) = 170 60 + 6x + (-20 + 4x) = 170 Reorder the terms: 60 + -20 + 6x + 4x = 170 Combine like terms: 60 + -20 = 40 40 + 6x + 4x = 170 Combine like terms: 6x + 4x = 10x 40 + 10x = 170 Solving 40 + 10x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10x = 170 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 170 + -40 10x = 170 + -40 Combine like terms: 170 + -40 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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