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Simplifying (3x + -7) + 2(5 + -2x) + 5x = 19 Reorder the terms: (-7 + 3x) + 2(5 + -2x) + 5x = 19 Remove parenthesis around (-7 + 3x) -7 + 3x + 2(5 + -2x) + 5x = 19 -7 + 3x + (5 * 2 + -2x * 2) + 5x = 19 -7 + 3x + (10 + -4x) + 5x = 19 Reorder the terms: -7 + 10 + 3x + -4x + 5x = 19 Combine like terms: -7 + 10 = 3 3 + 3x + -4x + 5x = 19 Combine like terms: 3x + -4x = -1x 3 + -1x + 5x = 19 Combine like terms: -1x + 5x = 4x 3 + 4x = 19 Solving 3 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 19 + -3 4x = 19 + -3 Combine like terms: 19 + -3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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