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Simplifying 5(x + 19) + (-7x + 10) = 28 Reorder the terms: 5(19 + x) + (-7x + 10) = 28 (19 * 5 + x * 5) + (-7x + 10) = 28 (95 + 5x) + (-7x + 10) = 28 Reorder the terms: 95 + 5x + (10 + -7x) = 28 Remove parenthesis around (10 + -7x) 95 + 5x + 10 + -7x = 28 Reorder the terms: 95 + 10 + 5x + -7x = 28 Combine like terms: 95 + 10 = 105 105 + 5x + -7x = 28 Combine like terms: 5x + -7x = -2x 105 + -2x = 28 Solving 105 + -2x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -2x = 28 + -105 Combine like terms: 105 + -105 = 0 0 + -2x = 28 + -105 -2x = 28 + -105 Combine like terms: 28 + -105 = -77 -2x = -77 Divide each side by '-2'. x = 38.5 Simplifying x = 38.5
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