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Simplifying 5(x + 4) + 2x = 6(x + 3) Reorder the terms: 5(4 + x) + 2x = 6(x + 3) (4 * 5 + x * 5) + 2x = 6(x + 3) (20 + 5x) + 2x = 6(x + 3) Combine like terms: 5x + 2x = 7x 20 + 7x = 6(x + 3) Reorder the terms: 20 + 7x = 6(3 + x) 20 + 7x = (3 * 6 + x * 6) 20 + 7x = (18 + 6x) Solving 20 + 7x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 7x + -6x = 18 + 6x + -6x Combine like terms: 7x + -6x = 1x 20 + 1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 1x = 18 + 0 20 + 1x = 18 Add '-20' to each side of the equation. 20 + -20 + 1x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 18 + -20 1x = 18 + -20 Combine like terms: 18 + -20 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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