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Simplifying 4(x + 3) + -1(2x + -6) = 2x + 18 Reorder the terms: 4(3 + x) + -1(2x + -6) = 2x + 18 (3 * 4 + x * 4) + -1(2x + -6) = 2x + 18 (12 + 4x) + -1(2x + -6) = 2x + 18 Reorder the terms: 12 + 4x + -1(-6 + 2x) = 2x + 18 12 + 4x + (-6 * -1 + 2x * -1) = 2x + 18 12 + 4x + (6 + -2x) = 2x + 18 Reorder the terms: 12 + 6 + 4x + -2x = 2x + 18 Combine like terms: 12 + 6 = 18 18 + 4x + -2x = 2x + 18 Combine like terms: 4x + -2x = 2x 18 + 2x = 2x + 18 Reorder the terms: 18 + 2x = 18 + 2x Add '-18' to each side of the equation. 18 + -18 + 2x = 18 + -18 + 2x Combine like terms: 18 + -18 = 0 0 + 2x = 18 + -18 + 2x 2x = 18 + -18 + 2x Combine like terms: 18 + -18 = 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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