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Simplifying 4(x + 3) + 2 = 405(x + 1) Reorder the terms: 4(3 + x) + 2 = 405(x + 1) (3 * 4 + x * 4) + 2 = 405(x + 1) (12 + 4x) + 2 = 405(x + 1) Reorder the terms: 12 + 2 + 4x = 405(x + 1) Combine like terms: 12 + 2 = 14 14 + 4x = 405(x + 1) Reorder the terms: 14 + 4x = 405(1 + x) 14 + 4x = (1 * 405 + x * 405) 14 + 4x = (405 + 405x) Solving 14 + 4x = 405 + 405x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-405x' to each side of the equation. 14 + 4x + -405x = 405 + 405x + -405x Combine like terms: 4x + -405x = -401x 14 + -401x = 405 + 405x + -405x Combine like terms: 405x + -405x = 0 14 + -401x = 405 + 0 14 + -401x = 405 Add '-14' to each side of the equation. 14 + -14 + -401x = 405 + -14 Combine like terms: 14 + -14 = 0 0 + -401x = 405 + -14 -401x = 405 + -14 Combine like terms: 405 + -14 = 391 -401x = 391 Divide each side by '-401'. x = -0.9750623441 Simplifying x = -0.9750623441
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