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Simplifying 6(3x + 7) = 28 + -1(3x + 7) Reorder the terms: 6(7 + 3x) = 28 + -1(3x + 7) (7 * 6 + 3x * 6) = 28 + -1(3x + 7) (42 + 18x) = 28 + -1(3x + 7) Reorder the terms: 42 + 18x = 28 + -1(7 + 3x) 42 + 18x = 28 + (7 * -1 + 3x * -1) 42 + 18x = 28 + (-7 + -3x) Combine like terms: 28 + -7 = 21 42 + 18x = 21 + -3x Solving 42 + 18x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 18x + 3x = 21 + -3x + 3x Combine like terms: 18x + 3x = 21x 42 + 21x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 21x = 21 + 0 42 + 21x = 21 Add '-42' to each side of the equation. 42 + -42 + 21x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 21x = 21 + -42 21x = 21 + -42 Combine like terms: 21 + -42 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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