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Simplifying 4(x + 45) = 2(x + 2) Reorder the terms: 4(45 + x) = 2(x + 2) (45 * 4 + x * 4) = 2(x + 2) (180 + 4x) = 2(x + 2) Reorder the terms: 180 + 4x = 2(2 + x) 180 + 4x = (2 * 2 + x * 2) 180 + 4x = (4 + 2x) Solving 180 + 4x = 4 + 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. 180 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 180 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 180 + 2x = 4 + 0 180 + 2x = 4 Add '-180' to each side of the equation. 180 + -180 + 2x = 4 + -180 Combine like terms: 180 + -180 = 0 0 + 2x = 4 + -180 2x = 4 + -180 Combine like terms: 4 + -180 = -176 2x = -176 Divide each side by '2'. x = -88 Simplifying x = -88
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