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Simplifying 4 + 7(x + -5) = 11 + -2(x + -2) Reorder the terms: 4 + 7(-5 + x) = 11 + -2(x + -2) 4 + (-5 * 7 + x * 7) = 11 + -2(x + -2) 4 + (-35 + 7x) = 11 + -2(x + -2) Combine like terms: 4 + -35 = -31 -31 + 7x = 11 + -2(x + -2) Reorder the terms: -31 + 7x = 11 + -2(-2 + x) -31 + 7x = 11 + (-2 * -2 + x * -2) -31 + 7x = 11 + (4 + -2x) Combine like terms: 11 + 4 = 15 -31 + 7x = 15 + -2x Solving -31 + 7x = 15 + -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. -31 + 7x + 2x = 15 + -2x + 2x Combine like terms: 7x + 2x = 9x -31 + 9x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -31 + 9x = 15 + 0 -31 + 9x = 15 Add '31' to each side of the equation. -31 + 31 + 9x = 15 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = 15 + 31 9x = 15 + 31 Combine like terms: 15 + 31 = 46 9x = 46 Divide each side by '9'. x = 5.111111111 Simplifying x = 5.111111111
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