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Simplifying 3(x + 4) + 2(x + -5) = 6x + -1(x + -2) Reorder the terms: 3(4 + x) + 2(x + -5) = 6x + -1(x + -2) (4 * 3 + x * 3) + 2(x + -5) = 6x + -1(x + -2) (12 + 3x) + 2(x + -5) = 6x + -1(x + -2) Reorder the terms: 12 + 3x + 2(-5 + x) = 6x + -1(x + -2) 12 + 3x + (-5 * 2 + x * 2) = 6x + -1(x + -2) 12 + 3x + (-10 + 2x) = 6x + -1(x + -2) Reorder the terms: 12 + -10 + 3x + 2x = 6x + -1(x + -2) Combine like terms: 12 + -10 = 2 2 + 3x + 2x = 6x + -1(x + -2) Combine like terms: 3x + 2x = 5x 2 + 5x = 6x + -1(x + -2) Reorder the terms: 2 + 5x = 6x + -1(-2 + x) 2 + 5x = 6x + (-2 * -1 + x * -1) 2 + 5x = 6x + (2 + -1x) Reorder the terms: 2 + 5x = 2 + 6x + -1x Combine like terms: 6x + -1x = 5x 2 + 5x = 2 + 5x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 5x 5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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