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Simplifying 19x + 6(5x + 24) = -10 + 7(7x + 22) Reorder the terms: 19x + 6(24 + 5x) = -10 + 7(7x + 22) 19x + (24 * 6 + 5x * 6) = -10 + 7(7x + 22) 19x + (144 + 30x) = -10 + 7(7x + 22) Reorder the terms: 144 + 19x + 30x = -10 + 7(7x + 22) Combine like terms: 19x + 30x = 49x 144 + 49x = -10 + 7(7x + 22) Reorder the terms: 144 + 49x = -10 + 7(22 + 7x) 144 + 49x = -10 + (22 * 7 + 7x * 7) 144 + 49x = -10 + (154 + 49x) Combine like terms: -10 + 154 = 144 144 + 49x = 144 + 49x Add '-144' to each side of the equation. 144 + -144 + 49x = 144 + -144 + 49x Combine like terms: 144 + -144 = 0 0 + 49x = 144 + -144 + 49x 49x = 144 + -144 + 49x Combine like terms: 144 + -144 = 0 49x = 0 + 49x 49x = 49x Add '-49x' to each side of the equation. 49x + -49x = 49x + -49x Combine like terms: 49x + -49x = 0 0 = 49x + -49x Combine like terms: 49x + -49x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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