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Simplifying 2(x + -3) + 8 = 4(x + 5) + -2(x + 9) Reorder the terms: 2(-3 + x) + 8 = 4(x + 5) + -2(x + 9) (-3 * 2 + x * 2) + 8 = 4(x + 5) + -2(x + 9) (-6 + 2x) + 8 = 4(x + 5) + -2(x + 9) Reorder the terms: -6 + 8 + 2x = 4(x + 5) + -2(x + 9) Combine like terms: -6 + 8 = 2 2 + 2x = 4(x + 5) + -2(x + 9) Reorder the terms: 2 + 2x = 4(5 + x) + -2(x + 9) 2 + 2x = (5 * 4 + x * 4) + -2(x + 9) 2 + 2x = (20 + 4x) + -2(x + 9) Reorder the terms: 2 + 2x = 20 + 4x + -2(9 + x) 2 + 2x = 20 + 4x + (9 * -2 + x * -2) 2 + 2x = 20 + 4x + (-18 + -2x) Reorder the terms: 2 + 2x = 20 + -18 + 4x + -2x Combine like terms: 20 + -18 = 2 2 + 2x = 2 + 4x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = 2 + 2x Add '-2' to each side of the equation. 2 + -2 + 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 2x = 2 + -2 + 2x 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 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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