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Simplifying 5(x + 2) + -5(y + 3) + -2x + 5y = 3x + -5 Reorder the terms: 5(2 + x) + -5(y + 3) + -2x + 5y = 3x + -5 (2 * 5 + x * 5) + -5(y + 3) + -2x + 5y = 3x + -5 (10 + 5x) + -5(y + 3) + -2x + 5y = 3x + -5 Reorder the terms: 10 + 5x + -5(3 + y) + -2x + 5y = 3x + -5 10 + 5x + (3 * -5 + y * -5) + -2x + 5y = 3x + -5 10 + 5x + (-15 + -5y) + -2x + 5y = 3x + -5 Reorder the terms: 10 + -15 + 5x + -2x + -5y + 5y = 3x + -5 Combine like terms: 10 + -15 = -5 -5 + 5x + -2x + -5y + 5y = 3x + -5 Combine like terms: 5x + -2x = 3x -5 + 3x + -5y + 5y = 3x + -5 Combine like terms: -5y + 5y = 0 -5 + 3x + 0 = 3x + -5 -5 + 3x = 3x + -5 Reorder the terms: -5 + 3x = -5 + 3x Add '5' to each side of the equation. -5 + 5 + 3x = -5 + 5 + 3x Combine like terms: -5 + 5 = 0 0 + 3x = -5 + 5 + 3x 3x = -5 + 5 + 3x Combine like terms: -5 + 5 = 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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