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Simplifying 5(x + 4) + -13 = 2x + 19 Reorder the terms: 5(4 + x) + -13 = 2x + 19 (4 * 5 + x * 5) + -13 = 2x + 19 (20 + 5x) + -13 = 2x + 19 Reorder the terms: 20 + -13 + 5x = 2x + 19 Combine like terms: 20 + -13 = 7 7 + 5x = 2x + 19 Reorder the terms: 7 + 5x = 19 + 2x Solving 7 + 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. 7 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 19 + 0 7 + 3x = 19 Add '-7' to each side of the equation. 7 + -7 + 3x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 19 + -7 3x = 19 + -7 Combine like terms: 19 + -7 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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