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Simplifying 5(x + -2) + 2x = 7(x + 2) + -24 Reorder the terms: 5(-2 + x) + 2x = 7(x + 2) + -24 (-2 * 5 + x * 5) + 2x = 7(x + 2) + -24 (-10 + 5x) + 2x = 7(x + 2) + -24 Combine like terms: 5x + 2x = 7x -10 + 7x = 7(x + 2) + -24 Reorder the terms: -10 + 7x = 7(2 + x) + -24 -10 + 7x = (2 * 7 + x * 7) + -24 -10 + 7x = (14 + 7x) + -24 Reorder the terms: -10 + 7x = 14 + -24 + 7x Combine like terms: 14 + -24 = -10 -10 + 7x = -10 + 7x Add '10' to each side of the equation. -10 + 10 + 7x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 0 + 7x = -10 + 10 + 7x 7x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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