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Simplifying -7(3x + -2) + 6(7 + 3x) = 8x + -3x Reorder the terms: -7(-2 + 3x) + 6(7 + 3x) = 8x + -3x (-2 * -7 + 3x * -7) + 6(7 + 3x) = 8x + -3x (14 + -21x) + 6(7 + 3x) = 8x + -3x 14 + -21x + (7 * 6 + 3x * 6) = 8x + -3x 14 + -21x + (42 + 18x) = 8x + -3x Reorder the terms: 14 + 42 + -21x + 18x = 8x + -3x Combine like terms: 14 + 42 = 56 56 + -21x + 18x = 8x + -3x Combine like terms: -21x + 18x = -3x 56 + -3x = 8x + -3x Combine like terms: 8x + -3x = 5x 56 + -3x = 5x Solving 56 + -3x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 56 + -3x + -5x = 5x + -5x Combine like terms: -3x + -5x = -8x 56 + -8x = 5x + -5x Combine like terms: 5x + -5x = 0 56 + -8x = 0 Add '-56' to each side of the equation. 56 + -56 + -8x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 0 + -56 -8x = 0 + -56 Combine like terms: 0 + -56 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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