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Simplifying 66 = 3(x + 4) + -5(x + -2) Reorder the terms: 66 = 3(4 + x) + -5(x + -2) 66 = (4 * 3 + x * 3) + -5(x + -2) 66 = (12 + 3x) + -5(x + -2) Reorder the terms: 66 = 12 + 3x + -5(-2 + x) 66 = 12 + 3x + (-2 * -5 + x * -5) 66 = 12 + 3x + (10 + -5x) Reorder the terms: 66 = 12 + 10 + 3x + -5x Combine like terms: 12 + 10 = 22 66 = 22 + 3x + -5x Combine like terms: 3x + -5x = -2x 66 = 22 + -2x Solving 66 = 22 + -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. 66 + 2x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 66 + 2x = 22 + 0 66 + 2x = 22 Add '-66' to each side of the equation. 66 + -66 + 2x = 22 + -66 Combine like terms: 66 + -66 = 0 0 + 2x = 22 + -66 2x = 22 + -66 Combine like terms: 22 + -66 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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