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Simplifying 4x = (x + 4) + 10(x + -1) Reorder the terms: 4x = (4 + x) + 10(x + -1) Remove parenthesis around (4 + x) 4x = 4 + x + 10(x + -1) Reorder the terms: 4x = 4 + x + 10(-1 + x) 4x = 4 + x + (-1 * 10 + x * 10) 4x = 4 + x + (-10 + 10x) Reorder the terms: 4x = 4 + -10 + x + 10x Combine like terms: 4 + -10 = -6 4x = -6 + x + 10x Combine like terms: x + 10x = 11x 4x = -6 + 11x Solving 4x = -6 + 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. 4x + -11x = -6 + 11x + -11x Combine like terms: 4x + -11x = -7x -7x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 -7x = -6 + 0 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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