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Simplifying -3x + 8(3x + -7) = 20 + 2x Reorder the terms: -3x + 8(-7 + 3x) = 20 + 2x -3x + (-7 * 8 + 3x * 8) = 20 + 2x -3x + (-56 + 24x) = 20 + 2x Reorder the terms: -56 + -3x + 24x = 20 + 2x Combine like terms: -3x + 24x = 21x -56 + 21x = 20 + 2x Solving -56 + 21x = 20 + 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. -56 + 21x + -2x = 20 + 2x + -2x Combine like terms: 21x + -2x = 19x -56 + 19x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 19x = 20 + 0 -56 + 19x = 20 Add '56' to each side of the equation. -56 + 56 + 19x = 20 + 56 Combine like terms: -56 + 56 = 0 0 + 19x = 20 + 56 19x = 20 + 56 Combine like terms: 20 + 56 = 76 19x = 76 Divide each side by '19'. x = 4 Simplifying x = 4
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