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Simplifying 7(-3 + 3x) + -1(x + -8) = 27 (-3 * 7 + 3x * 7) + -1(x + -8) = 27 (-21 + 21x) + -1(x + -8) = 27 Reorder the terms: -21 + 21x + -1(-8 + x) = 27 -21 + 21x + (-8 * -1 + x * -1) = 27 -21 + 21x + (8 + -1x) = 27 Reorder the terms: -21 + 8 + 21x + -1x = 27 Combine like terms: -21 + 8 = -13 -13 + 21x + -1x = 27 Combine like terms: 21x + -1x = 20x -13 + 20x = 27 Solving -13 + 20x = 27 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 + 20x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = 27 + 13 20x = 27 + 13 Combine like terms: 27 + 13 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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