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Simplifying 7(18 + -1x) = 6(3 + -5x) + -1(7x + 21) + -3(2x + 5) (18 * 7 + -1x * 7) = 6(3 + -5x) + -1(7x + 21) + -3(2x + 5) (126 + -7x) = 6(3 + -5x) + -1(7x + 21) + -3(2x + 5) 126 + -7x = (3 * 6 + -5x * 6) + -1(7x + 21) + -3(2x + 5) 126 + -7x = (18 + -30x) + -1(7x + 21) + -3(2x + 5) Reorder the terms: 126 + -7x = 18 + -30x + -1(21 + 7x) + -3(2x + 5) 126 + -7x = 18 + -30x + (21 * -1 + 7x * -1) + -3(2x + 5) 126 + -7x = 18 + -30x + (-21 + -7x) + -3(2x + 5) Reorder the terms: 126 + -7x = 18 + -30x + -21 + -7x + -3(5 + 2x) 126 + -7x = 18 + -30x + -21 + -7x + (5 * -3 + 2x * -3) 126 + -7x = 18 + -30x + -21 + -7x + (-15 + -6x) Reorder the terms: 126 + -7x = 18 + -21 + -15 + -30x + -7x + -6x Combine like terms: 18 + -21 = -3 126 + -7x = -3 + -15 + -30x + -7x + -6x Combine like terms: -3 + -15 = -18 126 + -7x = -18 + -30x + -7x + -6x Combine like terms: -30x + -7x = -37x 126 + -7x = -18 + -37x + -6x Combine like terms: -37x + -6x = -43x 126 + -7x = -18 + -43x Solving 126 + -7x = -18 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. 126 + -7x + 43x = -18 + -43x + 43x Combine like terms: -7x + 43x = 36x 126 + 36x = -18 + -43x + 43x Combine like terms: -43x + 43x = 0 126 + 36x = -18 + 0 126 + 36x = -18 Add '-126' to each side of the equation. 126 + -126 + 36x = -18 + -126 Combine like terms: 126 + -126 = 0 0 + 36x = -18 + -126 36x = -18 + -126 Combine like terms: -18 + -126 = -144 36x = -144 Divide each side by '36'. x = -4 Simplifying x = -4
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