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