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Simplifying 4x + 2(x + -7) = 4(x + 9) + 2 Reorder the terms: 4x + 2(-7 + x) = 4(x + 9) + 2 4x + (-7 * 2 + x * 2) = 4(x + 9) + 2 4x + (-14 + 2x) = 4(x + 9) + 2 Reorder the terms: -14 + 4x + 2x = 4(x + 9) + 2 Combine like terms: 4x + 2x = 6x -14 + 6x = 4(x + 9) + 2 Reorder the terms: -14 + 6x = 4(9 + x) + 2 -14 + 6x = (9 * 4 + x * 4) + 2 -14 + 6x = (36 + 4x) + 2 Reorder the terms: -14 + 6x = 36 + 2 + 4x Combine like terms: 36 + 2 = 38 -14 + 6x = 38 + 4x Solving -14 + 6x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 6x + -4x = 38 + 4x + -4x Combine like terms: 6x + -4x = 2x -14 + 2x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 2x = 38 + 0 -14 + 2x = 38 Add '14' to each side of the equation. -14 + 14 + 2x = 38 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 38 + 14 2x = 38 + 14 Combine like terms: 38 + 14 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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