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Simplifying 5(x + 3) + -11 = 2x + 19 Reorder the terms: 5(3 + x) + -11 = 2x + 19 (3 * 5 + x * 5) + -11 = 2x + 19 (15 + 5x) + -11 = 2x + 19 Reorder the terms: 15 + -11 + 5x = 2x + 19 Combine like terms: 15 + -11 = 4 4 + 5x = 2x + 19 Reorder the terms: 4 + 5x = 19 + 2x Solving 4 + 5x = 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. 4 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 19 + 0 4 + 3x = 19 Add '-4' to each side of the equation. 4 + -4 + 3x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 19 + -4 3x = 19 + -4 Combine like terms: 19 + -4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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