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Simplifying 7(1 + 4x) = 2x + -19 (1 * 7 + 4x * 7) = 2x + -19 (7 + 28x) = 2x + -19 Reorder the terms: 7 + 28x = -19 + 2x Solving 7 + 28x = -19 + 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. 7 + 28x + -2x = -19 + 2x + -2x Combine like terms: 28x + -2x = 26x 7 + 26x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 26x = -19 + 0 7 + 26x = -19 Add '-7' to each side of the equation. 7 + -7 + 26x = -19 + -7 Combine like terms: 7 + -7 = 0 0 + 26x = -19 + -7 26x = -19 + -7 Combine like terms: -19 + -7 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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