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Simplifying 4(x + 4) = 7x + 22 Reorder the terms: 4(4 + x) = 7x + 22 (4 * 4 + x * 4) = 7x + 22 (16 + 4x) = 7x + 22 Reorder the terms: 16 + 4x = 22 + 7x Solving 16 + 4x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 4x + -7x = 22 + 7x + -7x Combine like terms: 4x + -7x = -3x 16 + -3x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -3x = 22 + 0 16 + -3x = 22 Add '-16' to each side of the equation. 16 + -16 + -3x = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 22 + -16 -3x = 22 + -16 Combine like terms: 22 + -16 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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