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Simplifying -7x + 19 = -2(5x + -11) Reorder the terms: 19 + -7x = -2(5x + -11) Reorder the terms: 19 + -7x = -2(-11 + 5x) 19 + -7x = (-11 * -2 + 5x * -2) 19 + -7x = (22 + -10x) Solving 19 + -7x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 19 + -7x + 10x = 22 + -10x + 10x Combine like terms: -7x + 10x = 3x 19 + 3x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 19 + 3x = 22 + 0 19 + 3x = 22 Add '-19' to each side of the equation. 19 + -19 + 3x = 22 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 22 + -19 3x = 22 + -19 Combine like terms: 22 + -19 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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