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Simplifying 11(x + -5) = 10(x + -15) Reorder the terms: 11(-5 + x) = 10(x + -15) (-5 * 11 + x * 11) = 10(x + -15) (-55 + 11x) = 10(x + -15) Reorder the terms: -55 + 11x = 10(-15 + x) -55 + 11x = (-15 * 10 + x * 10) -55 + 11x = (-150 + 10x) Solving -55 + 11x = -150 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -55 + 11x + -10x = -150 + 10x + -10x Combine like terms: 11x + -10x = 1x -55 + 1x = -150 + 10x + -10x Combine like terms: 10x + -10x = 0 -55 + 1x = -150 + 0 -55 + 1x = -150 Add '55' to each side of the equation. -55 + 55 + 1x = -150 + 55 Combine like terms: -55 + 55 = 0 0 + 1x = -150 + 55 1x = -150 + 55 Combine like terms: -150 + 55 = -95 1x = -95 Divide each side by '1'. x = -95 Simplifying x = -95
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