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Simplifying 5x + -1(2x + 18) = 11 + -4(x + 2) Reorder the terms: 5x + -1(18 + 2x) = 11 + -4(x + 2) 5x + (18 * -1 + 2x * -1) = 11 + -4(x + 2) 5x + (-18 + -2x) = 11 + -4(x + 2) Reorder the terms: -18 + 5x + -2x = 11 + -4(x + 2) Combine like terms: 5x + -2x = 3x -18 + 3x = 11 + -4(x + 2) Reorder the terms: -18 + 3x = 11 + -4(2 + x) -18 + 3x = 11 + (2 * -4 + x * -4) -18 + 3x = 11 + (-8 + -4x) Combine like terms: 11 + -8 = 3 -18 + 3x = 3 + -4x Solving -18 + 3x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 3x + 4x = 3 + -4x + 4x Combine like terms: 3x + 4x = 7x -18 + 7x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 7x = 3 + 0 -18 + 7x = 3 Add '18' to each side of the equation. -18 + 18 + 7x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 3 + 18 7x = 3 + 18 Combine like terms: 3 + 18 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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