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Simplifying 7x + 4 = 4 + -1(2x + -6) Reorder the terms: 4 + 7x = 4 + -1(2x + -6) Reorder the terms: 4 + 7x = 4 + -1(-6 + 2x) 4 + 7x = 4 + (-6 * -1 + 2x * -1) 4 + 7x = 4 + (6 + -2x) Combine like terms: 4 + 6 = 10 4 + 7x = 10 + -2x Solving 4 + 7x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x 4 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 9x = 10 + 0 4 + 9x = 10 Add '-4' to each side of the equation. 4 + -4 + 9x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 10 + -4 9x = 10 + -4 Combine like terms: 10 + -4 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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