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Simplifying 2(3x + 1) + -4x + -3 = 5(x + 1) + -3(x + 2) Reorder the terms: 2(1 + 3x) + -4x + -3 = 5(x + 1) + -3(x + 2) (1 * 2 + 3x * 2) + -4x + -3 = 5(x + 1) + -3(x + 2) (2 + 6x) + -4x + -3 = 5(x + 1) + -3(x + 2) Reorder the terms: 2 + -3 + 6x + -4x = 5(x + 1) + -3(x + 2) Combine like terms: 2 + -3 = -1 -1 + 6x + -4x = 5(x + 1) + -3(x + 2) Combine like terms: 6x + -4x = 2x -1 + 2x = 5(x + 1) + -3(x + 2) Reorder the terms: -1 + 2x = 5(1 + x) + -3(x + 2) -1 + 2x = (1 * 5 + x * 5) + -3(x + 2) -1 + 2x = (5 + 5x) + -3(x + 2) Reorder the terms: -1 + 2x = 5 + 5x + -3(2 + x) -1 + 2x = 5 + 5x + (2 * -3 + x * -3) -1 + 2x = 5 + 5x + (-6 + -3x) Reorder the terms: -1 + 2x = 5 + -6 + 5x + -3x Combine like terms: 5 + -6 = -1 -1 + 2x = -1 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = -1 + 2x Add '1' to each side of the equation. -1 + 1 + 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + 2x = -1 + 1 + 2x 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 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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