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Simplifying 4(x + 5) + 6 = 2(3x + 3) Reorder the terms: 4(5 + x) + 6 = 2(3x + 3) (5 * 4 + x * 4) + 6 = 2(3x + 3) (20 + 4x) + 6 = 2(3x + 3) Reorder the terms: 20 + 6 + 4x = 2(3x + 3) Combine like terms: 20 + 6 = 26 26 + 4x = 2(3x + 3) Reorder the terms: 26 + 4x = 2(3 + 3x) 26 + 4x = (3 * 2 + 3x * 2) 26 + 4x = (6 + 6x) Solving 26 + 4x = 6 + 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. 26 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x 26 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + -2x = 6 + 0 26 + -2x = 6 Add '-26' to each side of the equation. 26 + -26 + -2x = 6 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 6 + -26 -2x = 6 + -26 Combine like terms: 6 + -26 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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