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Simplifying 7(5x + 4) = (2x + 19) Reorder the terms: 7(4 + 5x) = (2x + 19) (4 * 7 + 5x * 7) = (2x + 19) (28 + 35x) = (2x + 19) Reorder the terms: 28 + 35x = (19 + 2x) Remove parenthesis around (19 + 2x) 28 + 35x = 19 + 2x Solving 28 + 35x = 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. 28 + 35x + -2x = 19 + 2x + -2x Combine like terms: 35x + -2x = 33x 28 + 33x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 33x = 19 + 0 28 + 33x = 19 Add '-28' to each side of the equation. 28 + -28 + 33x = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 33x = 19 + -28 33x = 19 + -28 Combine like terms: 19 + -28 = -9 33x = -9 Divide each side by '33'. x = -0.2727272727 Simplifying x = -0.2727272727
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