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Simplifying 4(2x + 7) = 2x + 22 + 3(4x) Reorder the terms: 4(7 + 2x) = 2x + 22 + 3(4x) (7 * 4 + 2x * 4) = 2x + 22 + 3(4x) (28 + 8x) = 2x + 22 + 3(4x) Remove parenthesis around (4x) 28 + 8x = 2x + 22 + 3 * 4x Multiply 3 * 4 28 + 8x = 2x + 22 + 12x Reorder the terms: 28 + 8x = 22 + 2x + 12x Combine like terms: 2x + 12x = 14x 28 + 8x = 22 + 14x Solving 28 + 8x = 22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 28 + 8x + -14x = 22 + 14x + -14x Combine like terms: 8x + -14x = -6x 28 + -6x = 22 + 14x + -14x Combine like terms: 14x + -14x = 0 28 + -6x = 22 + 0 28 + -6x = 22 Add '-28' to each side of the equation. 28 + -28 + -6x = 22 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = 22 + -28 -6x = 22 + -28 Combine like terms: 22 + -28 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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