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Simplifying 1 + -1(4x + 19) = 22 + -9x Reorder the terms: 1 + -1(19 + 4x) = 22 + -9x 1 + (19 * -1 + 4x * -1) = 22 + -9x 1 + (-19 + -4x) = 22 + -9x Combine like terms: 1 + -19 = -18 -18 + -4x = 22 + -9x Solving -18 + -4x = 22 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + -4x + 9x = 22 + -9x + 9x Combine like terms: -4x + 9x = 5x -18 + 5x = 22 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 5x = 22 + 0 -18 + 5x = 22 Add '18' to each side of the equation. -18 + 18 + 5x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 22 + 18 5x = 22 + 18 Combine like terms: 22 + 18 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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