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Simplifying 4 + 7(x + -1) = 7 + -2(x + -2) Reorder the terms: 4 + 7(-1 + x) = 7 + -2(x + -2) 4 + (-1 * 7 + x * 7) = 7 + -2(x + -2) 4 + (-7 + 7x) = 7 + -2(x + -2) Combine like terms: 4 + -7 = -3 -3 + 7x = 7 + -2(x + -2) Reorder the terms: -3 + 7x = 7 + -2(-2 + x) -3 + 7x = 7 + (-2 * -2 + x * -2) -3 + 7x = 7 + (4 + -2x) Combine like terms: 7 + 4 = 11 -3 + 7x = 11 + -2x Solving -3 + 7x = 11 + -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. -3 + 7x + 2x = 11 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = 11 + 0 -3 + 9x = 11 Add '3' to each side of the equation. -3 + 3 + 9x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 11 + 3 9x = 11 + 3 Combine like terms: 11 + 3 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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