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Simplifying 4(3x + -1) + -5(3x + -2) = 2(x + 3) + -5x Reorder the terms: 4(-1 + 3x) + -5(3x + -2) = 2(x + 3) + -5x (-1 * 4 + 3x * 4) + -5(3x + -2) = 2(x + 3) + -5x (-4 + 12x) + -5(3x + -2) = 2(x + 3) + -5x Reorder the terms: -4 + 12x + -5(-2 + 3x) = 2(x + 3) + -5x -4 + 12x + (-2 * -5 + 3x * -5) = 2(x + 3) + -5x -4 + 12x + (10 + -15x) = 2(x + 3) + -5x Reorder the terms: -4 + 10 + 12x + -15x = 2(x + 3) + -5x Combine like terms: -4 + 10 = 6 6 + 12x + -15x = 2(x + 3) + -5x Combine like terms: 12x + -15x = -3x 6 + -3x = 2(x + 3) + -5x Reorder the terms: 6 + -3x = 2(3 + x) + -5x 6 + -3x = (3 * 2 + x * 2) + -5x 6 + -3x = (6 + 2x) + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 6 + -3x Add '-6' to each side of the equation. 6 + -6 + -3x = 6 + -6 + -3x Combine like terms: 6 + -6 = 0 0 + -3x = 6 + -6 + -3x -3x = 6 + -6 + -3x Combine like terms: 6 + -6 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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