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Simplifying 5(x + 7) + -3(3x + -5) = 19 Reorder the terms: 5(7 + x) + -3(3x + -5) = 19 (7 * 5 + x * 5) + -3(3x + -5) = 19 (35 + 5x) + -3(3x + -5) = 19 Reorder the terms: 35 + 5x + -3(-5 + 3x) = 19 35 + 5x + (-5 * -3 + 3x * -3) = 19 35 + 5x + (15 + -9x) = 19 Reorder the terms: 35 + 15 + 5x + -9x = 19 Combine like terms: 35 + 15 = 50 50 + 5x + -9x = 19 Combine like terms: 5x + -9x = -4x 50 + -4x = 19 Solving 50 + -4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -4x = 19 + -50 Combine like terms: 50 + -50 = 0 0 + -4x = 19 + -50 -4x = 19 + -50 Combine like terms: 19 + -50 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75
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