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Simplifying 5(x + 3) + -4 = 2x + 17 Reorder the terms: 5(3 + x) + -4 = 2x + 17 (3 * 5 + x * 5) + -4 = 2x + 17 (15 + 5x) + -4 = 2x + 17 Reorder the terms: 15 + -4 + 5x = 2x + 17 Combine like terms: 15 + -4 = 11 11 + 5x = 2x + 17 Reorder the terms: 11 + 5x = 17 + 2x Solving 11 + 5x = 17 + 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. 11 + 5x + -2x = 17 + 2x + -2x Combine like terms: 5x + -2x = 3x 11 + 3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 3x = 17 + 0 11 + 3x = 17 Add '-11' to each side of the equation. 11 + -11 + 3x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 17 + -11 3x = 17 + -11 Combine like terms: 17 + -11 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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