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Simplifying 5x + -7(6x + 19) = -22 Reorder the terms: 5x + -7(19 + 6x) = -22 5x + (19 * -7 + 6x * -7) = -22 5x + (-133 + -42x) = -22 Reorder the terms: -133 + 5x + -42x = -22 Combine like terms: 5x + -42x = -37x -133 + -37x = -22 Solving -133 + -37x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '133' to each side of the equation. -133 + 133 + -37x = -22 + 133 Combine like terms: -133 + 133 = 0 0 + -37x = -22 + 133 -37x = -22 + 133 Combine like terms: -22 + 133 = 111 -37x = 111 Divide each side by '-37'. x = -3 Simplifying x = -3
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