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Simplifying 2(3x + -7) + 3(9 + -1x) = 28 Reorder the terms: 2(-7 + 3x) + 3(9 + -1x) = 28 (-7 * 2 + 3x * 2) + 3(9 + -1x) = 28 (-14 + 6x) + 3(9 + -1x) = 28 -14 + 6x + (9 * 3 + -1x * 3) = 28 -14 + 6x + (27 + -3x) = 28 Reorder the terms: -14 + 27 + 6x + -3x = 28 Combine like terms: -14 + 27 = 13 13 + 6x + -3x = 28 Combine like terms: 6x + -3x = 3x 13 + 3x = 28 Solving 13 + 3x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 28 + -13 3x = 28 + -13 Combine like terms: 28 + -13 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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