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Simplifying 4(x + 5) = 6x + 22 Reorder the terms: 4(5 + x) = 6x + 22 (5 * 4 + x * 4) = 6x + 22 (20 + 4x) = 6x + 22 Reorder the terms: 20 + 4x = 22 + 6x Solving 20 + 4x = 22 + 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 = 22 + 6x + -6x Combine like terms: 4x + -6x = -2x 20 + -2x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -2x = 22 + 0 20 + -2x = 22 Add '-20' to each side of the equation. 20 + -20 + -2x = 22 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 22 + -20 -2x = 22 + -20 Combine like terms: 22 + -20 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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