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Simplifying 2(3x + -5) = 11(x + -15) Reorder the terms: 2(-5 + 3x) = 11(x + -15) (-5 * 2 + 3x * 2) = 11(x + -15) (-10 + 6x) = 11(x + -15) Reorder the terms: -10 + 6x = 11(-15 + x) -10 + 6x = (-15 * 11 + x * 11) -10 + 6x = (-165 + 11x) Solving -10 + 6x = -165 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 6x + -11x = -165 + 11x + -11x Combine like terms: 6x + -11x = -5x -10 + -5x = -165 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -5x = -165 + 0 -10 + -5x = -165 Add '10' to each side of the equation. -10 + 10 + -5x = -165 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -165 + 10 -5x = -165 + 10 Combine like terms: -165 + 10 = -155 -5x = -155 Divide each side by '-5'. x = 31 Simplifying x = 31
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