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Simplifying 4(x + 5) = 6x + 2 Reorder the terms: 4(5 + x) = 6x + 2 (5 * 4 + x * 4) = 6x + 2 (20 + 4x) = 6x + 2 Reorder the terms: 20 + 4x = 2 + 6x Solving 20 + 4x = 2 + 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 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 20 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -2x = 2 + 0 20 + -2x = 2 Add '-20' to each side of the equation. 20 + -20 + -2x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 2 + -20 -2x = 2 + -20 Combine like terms: 2 + -20 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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