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Simplifying 4(3x + 6) + -2x = -2x + 2(6x + 12) Reorder the terms: 4(6 + 3x) + -2x = -2x + 2(6x + 12) (6 * 4 + 3x * 4) + -2x = -2x + 2(6x + 12) (24 + 12x) + -2x = -2x + 2(6x + 12) Combine like terms: 12x + -2x = 10x 24 + 10x = -2x + 2(6x + 12) Reorder the terms: 24 + 10x = -2x + 2(12 + 6x) 24 + 10x = -2x + (12 * 2 + 6x * 2) 24 + 10x = -2x + (24 + 12x) Reorder the terms: 24 + 10x = 24 + -2x + 12x Combine like terms: -2x + 12x = 10x 24 + 10x = 24 + 10x Add '-24' to each side of the equation. 24 + -24 + 10x = 24 + -24 + 10x Combine like terms: 24 + -24 = 0 0 + 10x = 24 + -24 + 10x 10x = 24 + -24 + 10x Combine like terms: 24 + -24 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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