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Simplifying 11(15 + -7x) = -78 + 4x (15 * 11 + -7x * 11) = -78 + 4x (165 + -77x) = -78 + 4x Solving 165 + -77x = -78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 165 + -77x + -4x = -78 + 4x + -4x Combine like terms: -77x + -4x = -81x 165 + -81x = -78 + 4x + -4x Combine like terms: 4x + -4x = 0 165 + -81x = -78 + 0 165 + -81x = -78 Add '-165' to each side of the equation. 165 + -165 + -81x = -78 + -165 Combine like terms: 165 + -165 = 0 0 + -81x = -78 + -165 -81x = -78 + -165 Combine like terms: -78 + -165 = -243 -81x = -243 Divide each side by '-81'. x = 3 Simplifying x = 3
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