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Simplifying 49(x + 5) = 7(8x + -6) Reorder the terms: 49(5 + x) = 7(8x + -6) (5 * 49 + x * 49) = 7(8x + -6) (245 + 49x) = 7(8x + -6) Reorder the terms: 245 + 49x = 7(-6 + 8x) 245 + 49x = (-6 * 7 + 8x * 7) 245 + 49x = (-42 + 56x) Solving 245 + 49x = -42 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 245 + 49x + -56x = -42 + 56x + -56x Combine like terms: 49x + -56x = -7x 245 + -7x = -42 + 56x + -56x Combine like terms: 56x + -56x = 0 245 + -7x = -42 + 0 245 + -7x = -42 Add '-245' to each side of the equation. 245 + -245 + -7x = -42 + -245 Combine like terms: 245 + -245 = 0 0 + -7x = -42 + -245 -7x = -42 + -245 Combine like terms: -42 + -245 = -287 -7x = -287 Divide each side by '-7'. x = 41 Simplifying x = 41
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