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Simplifying 5(x + 4) + -1(3x + -4) = 2x + 24 Reorder the terms: 5(4 + x) + -1(3x + -4) = 2x + 24 (4 * 5 + x * 5) + -1(3x + -4) = 2x + 24 (20 + 5x) + -1(3x + -4) = 2x + 24 Reorder the terms: 20 + 5x + -1(-4 + 3x) = 2x + 24 20 + 5x + (-4 * -1 + 3x * -1) = 2x + 24 20 + 5x + (4 + -3x) = 2x + 24 Reorder the terms: 20 + 4 + 5x + -3x = 2x + 24 Combine like terms: 20 + 4 = 24 24 + 5x + -3x = 2x + 24 Combine like terms: 5x + -3x = 2x 24 + 2x = 2x + 24 Reorder the terms: 24 + 2x = 24 + 2x Add '-24' to each side of the equation. 24 + -24 + 2x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 0 + 2x = 24 + -24 + 2x 2x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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