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Simplifying 6(x + 2) = 4(x + -2) + 2(x + 10) Reorder the terms: 6(2 + x) = 4(x + -2) + 2(x + 10) (2 * 6 + x * 6) = 4(x + -2) + 2(x + 10) (12 + 6x) = 4(x + -2) + 2(x + 10) Reorder the terms: 12 + 6x = 4(-2 + x) + 2(x + 10) 12 + 6x = (-2 * 4 + x * 4) + 2(x + 10) 12 + 6x = (-8 + 4x) + 2(x + 10) Reorder the terms: 12 + 6x = -8 + 4x + 2(10 + x) 12 + 6x = -8 + 4x + (10 * 2 + x * 2) 12 + 6x = -8 + 4x + (20 + 2x) Reorder the terms: 12 + 6x = -8 + 20 + 4x + 2x Combine like terms: -8 + 20 = 12 12 + 6x = 12 + 4x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 12 + 6x Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + 6x 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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