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Simplifying 100 = 4x + 4(5x + -11) Reorder the terms: 100 = 4x + 4(-11 + 5x) 100 = 4x + (-11 * 4 + 5x * 4) 100 = 4x + (-44 + 20x) Reorder the terms: 100 = -44 + 4x + 20x Combine like terms: 4x + 20x = 24x 100 = -44 + 24x Solving 100 = -44 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 100 + -24x = -44 + 24x + -24x Combine like terms: 24x + -24x = 0 100 + -24x = -44 + 0 100 + -24x = -44 Add '-100' to each side of the equation. 100 + -100 + -24x = -44 + -100 Combine like terms: 100 + -100 = 0 0 + -24x = -44 + -100 -24x = -44 + -100 Combine like terms: -44 + -100 = -144 -24x = -144 Divide each side by '-24'. x = 6 Simplifying x = 6
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