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Simplifying 3(x + 5) = 5x + 19 + -4x Reorder the terms: 3(5 + x) = 5x + 19 + -4x (5 * 3 + x * 3) = 5x + 19 + -4x (15 + 3x) = 5x + 19 + -4x Reorder the terms: 15 + 3x = 19 + 5x + -4x Combine like terms: 5x + -4x = 1x 15 + 3x = 19 + 1x Solving 15 + 3x = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 3x + -1x = 19 + 1x + -1x Combine like terms: 3x + -1x = 2x 15 + 2x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + 2x = 19 + 0 15 + 2x = 19 Add '-15' to each side of the equation. 15 + -15 + 2x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 19 + -15 2x = 19 + -15 Combine like terms: 19 + -15 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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