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Simplifying 6(7x + 3) + -1x = 5(8x + -4) + 38 Reorder the terms: 6(3 + 7x) + -1x = 5(8x + -4) + 38 (3 * 6 + 7x * 6) + -1x = 5(8x + -4) + 38 (18 + 42x) + -1x = 5(8x + -4) + 38 Combine like terms: 42x + -1x = 41x 18 + 41x = 5(8x + -4) + 38 Reorder the terms: 18 + 41x = 5(-4 + 8x) + 38 18 + 41x = (-4 * 5 + 8x * 5) + 38 18 + 41x = (-20 + 40x) + 38 Reorder the terms: 18 + 41x = -20 + 38 + 40x Combine like terms: -20 + 38 = 18 18 + 41x = 18 + 40x Add '-18' to each side of the equation. 18 + -18 + 41x = 18 + -18 + 40x Combine like terms: 18 + -18 = 0 0 + 41x = 18 + -18 + 40x 41x = 18 + -18 + 40x Combine like terms: 18 + -18 = 0 41x = 0 + 40x 41x = 40x Solving 41x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 41x + -40x = 40x + -40x Combine like terms: 41x + -40x = 1x 1x = 40x + -40x Combine like terms: 40x + -40x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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