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Simplifying 2x + -4 = 5(x + 1) + -3(x + 3) Reorder the terms: -4 + 2x = 5(x + 1) + -3(x + 3) Reorder the terms: -4 + 2x = 5(1 + x) + -3(x + 3) -4 + 2x = (1 * 5 + x * 5) + -3(x + 3) -4 + 2x = (5 + 5x) + -3(x + 3) Reorder the terms: -4 + 2x = 5 + 5x + -3(3 + x) -4 + 2x = 5 + 5x + (3 * -3 + x * -3) -4 + 2x = 5 + 5x + (-9 + -3x) Reorder the terms: -4 + 2x = 5 + -9 + 5x + -3x Combine like terms: 5 + -9 = -4 -4 + 2x = -4 + 5x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -4 + 2x Add '4' to each side of the equation. -4 + 4 + 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + 2x = -4 + 4 + 2x 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 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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