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Simplifying 4(x + 7) = 6 + -2x + 22 Reorder the terms: 4(7 + x) = 6 + -2x + 22 (7 * 4 + x * 4) = 6 + -2x + 22 (28 + 4x) = 6 + -2x + 22 Reorder the terms: 28 + 4x = 6 + 22 + -2x Combine like terms: 6 + 22 = 28 28 + 4x = 28 + -2x Add '-28' to each side of the equation. 28 + -28 + 4x = 28 + -28 + -2x Combine like terms: 28 + -28 = 0 0 + 4x = 28 + -28 + -2x 4x = 28 + -28 + -2x Combine like terms: 28 + -28 = 0 4x = 0 + -2x 4x = -2x Solving 4x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 6x = -2x + 2x Combine like terms: -2x + 2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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