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