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Simplifying 3(10 + x) = 4(x + -11) (10 * 3 + x * 3) = 4(x + -11) (30 + 3x) = 4(x + -11) Reorder the terms: 30 + 3x = 4(-11 + x) 30 + 3x = (-11 * 4 + x * 4) 30 + 3x = (-44 + 4x) Solving 30 + 3x = -44 + 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. 30 + 3x + -4x = -44 + 4x + -4x Combine like terms: 3x + -4x = -1x 30 + -1x = -44 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -1x = -44 + 0 30 + -1x = -44 Add '-30' to each side of the equation. 30 + -30 + -1x = -44 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -44 + -30 -1x = -44 + -30 Combine like terms: -44 + -30 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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