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Simplifying 4(x + -6) + 2x = 12x + -3(2x + 8) Reorder the terms: 4(-6 + x) + 2x = 12x + -3(2x + 8) (-6 * 4 + x * 4) + 2x = 12x + -3(2x + 8) (-24 + 4x) + 2x = 12x + -3(2x + 8) Combine like terms: 4x + 2x = 6x -24 + 6x = 12x + -3(2x + 8) Reorder the terms: -24 + 6x = 12x + -3(8 + 2x) -24 + 6x = 12x + (8 * -3 + 2x * -3) -24 + 6x = 12x + (-24 + -6x) Reorder the terms: -24 + 6x = -24 + 12x + -6x Combine like terms: 12x + -6x = 6x -24 + 6x = -24 + 6x Add '24' to each side of the equation. -24 + 24 + 6x = -24 + 24 + 6x Combine like terms: -24 + 24 = 0 0 + 6x = -24 + 24 + 6x 6x = -24 + 24 + 6x Combine like terms: -24 + 24 = 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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