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Simplifying 5(x + 3) + -1(2x + -4) = 5x + 15 + -2x + 4 Reorder the terms: 5(3 + x) + -1(2x + -4) = 5x + 15 + -2x + 4 (3 * 5 + x * 5) + -1(2x + -4) = 5x + 15 + -2x + 4 (15 + 5x) + -1(2x + -4) = 5x + 15 + -2x + 4 Reorder the terms: 15 + 5x + -1(-4 + 2x) = 5x + 15 + -2x + 4 15 + 5x + (-4 * -1 + 2x * -1) = 5x + 15 + -2x + 4 15 + 5x + (4 + -2x) = 5x + 15 + -2x + 4 Reorder the terms: 15 + 4 + 5x + -2x = 5x + 15 + -2x + 4 Combine like terms: 15 + 4 = 19 19 + 5x + -2x = 5x + 15 + -2x + 4 Combine like terms: 5x + -2x = 3x 19 + 3x = 5x + 15 + -2x + 4 Reorder the terms: 19 + 3x = 15 + 4 + 5x + -2x Combine like terms: 15 + 4 = 19 19 + 3x = 19 + 5x + -2x Combine like terms: 5x + -2x = 3x 19 + 3x = 19 + 3x Add '-19' to each side of the equation. 19 + -19 + 3x = 19 + -19 + 3x Combine like terms: 19 + -19 = 0 0 + 3x = 19 + -19 + 3x 3x = 19 + -19 + 3x Combine like terms: 19 + -19 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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