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Simplifying 4x + 22 = 7(x + 4) Reorder the terms: 22 + 4x = 7(x + 4) Reorder the terms: 22 + 4x = 7(4 + x) 22 + 4x = (4 * 7 + x * 7) 22 + 4x = (28 + 7x) Solving 22 + 4x = 28 + 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. 22 + 4x + -7x = 28 + 7x + -7x Combine like terms: 4x + -7x = -3x 22 + -3x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -3x = 28 + 0 22 + -3x = 28 Add '-22' to each side of the equation. 22 + -22 + -3x = 28 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 28 + -22 -3x = 28 + -22 Combine like terms: 28 + -22 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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