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Simplifying 3(2x + 2) + -4(x + -3) = 2(x + 9) Reorder the terms: 3(2 + 2x) + -4(x + -3) = 2(x + 9) (2 * 3 + 2x * 3) + -4(x + -3) = 2(x + 9) (6 + 6x) + -4(x + -3) = 2(x + 9) Reorder the terms: 6 + 6x + -4(-3 + x) = 2(x + 9) 6 + 6x + (-3 * -4 + x * -4) = 2(x + 9) 6 + 6x + (12 + -4x) = 2(x + 9) Reorder the terms: 6 + 12 + 6x + -4x = 2(x + 9) Combine like terms: 6 + 12 = 18 18 + 6x + -4x = 2(x + 9) Combine like terms: 6x + -4x = 2x 18 + 2x = 2(x + 9) Reorder the terms: 18 + 2x = 2(9 + x) 18 + 2x = (9 * 2 + x * 2) 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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