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Simplifying 5x + -3(x + 1) = 2(x + 3) + -9 Reorder the terms: 5x + -3(1 + x) = 2(x + 3) + -9 5x + (1 * -3 + x * -3) = 2(x + 3) + -9 5x + (-3 + -3x) = 2(x + 3) + -9 Reorder the terms: -3 + 5x + -3x = 2(x + 3) + -9 Combine like terms: 5x + -3x = 2x -3 + 2x = 2(x + 3) + -9 Reorder the terms: -3 + 2x = 2(3 + x) + -9 -3 + 2x = (3 * 2 + x * 2) + -9 -3 + 2x = (6 + 2x) + -9 Reorder the terms: -3 + 2x = 6 + -9 + 2x Combine like terms: 6 + -9 = -3 -3 + 2x = -3 + 2x Add '3' to each side of the equation. -3 + 3 + 2x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 0 + 2x = -3 + 3 + 2x 2x = -3 + 3 + 2x Combine like terms: -3 + 3 = 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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