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Simplifying 21(3 + 3x) + 21(3 + -1x) = 21 * 40 (3 * 21 + 3x * 21) + 21(3 + -1x) = 21 * 40 (63 + 63x) + 21(3 + -1x) = 21 * 40 63 + 63x + (3 * 21 + -1x * 21) = 21 * 40 63 + 63x + (63 + -21x) = 21 * 40 Reorder the terms: 63 + 63 + 63x + -21x = 21 * 40 Combine like terms: 63 + 63 = 126 126 + 63x + -21x = 21 * 40 Combine like terms: 63x + -21x = 42x 126 + 42x = 21 * 40 Multiply 21 * 40 126 + 42x = 840 Solving 126 + 42x = 840 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 42x = 840 + -126 Combine like terms: 126 + -126 = 0 0 + 42x = 840 + -126 42x = 840 + -126 Combine like terms: 840 + -126 = 714 42x = 714 Divide each side by '42'. x = 17 Simplifying x = 17
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