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Simplifying 15x + 4(3 + -5x) = 2[4x + -3(x + -6) + -12] + -7x 15x + (3 * 4 + -5x * 4) = 2[4x + -3(x + -6) + -12] + -7x 15x + (12 + -20x) = 2[4x + -3(x + -6) + -12] + -7x Reorder the terms: 12 + 15x + -20x = 2[4x + -3(x + -6) + -12] + -7x Combine like terms: 15x + -20x = -5x 12 + -5x = 2[4x + -3(x + -6) + -12] + -7x Reorder the terms: 12 + -5x = 2[4x + -3(-6 + x) + -12] + -7x 12 + -5x = 2[4x + (-6 * -3 + x * -3) + -12] + -7x 12 + -5x = 2[4x + (18 + -3x) + -12] + -7x Reorder the terms: 12 + -5x = 2[18 + -12 + 4x + -3x] + -7x Combine like terms: 18 + -12 = 6 12 + -5x = 2[6 + 4x + -3x] + -7x Combine like terms: 4x + -3x = 1x 12 + -5x = 2[6 + 1x] + -7x 12 + -5x = [6 * 2 + 1x * 2] + -7x 12 + -5x = [12 + 2x] + -7x Combine like terms: 2x + -7x = -5x 12 + -5x = 12 + -5x Add '-12' to each side of the equation. 12 + -12 + -5x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 0 + -5x = 12 + -12 + -5x -5x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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