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Simplifying 8x + -2(2x + -6) + 5x = -4x + 5(2x + 3) + -3 + 3x Reorder the terms: 8x + -2(-6 + 2x) + 5x = -4x + 5(2x + 3) + -3 + 3x 8x + (-6 * -2 + 2x * -2) + 5x = -4x + 5(2x + 3) + -3 + 3x 8x + (12 + -4x) + 5x = -4x + 5(2x + 3) + -3 + 3x Reorder the terms: 12 + 8x + -4x + 5x = -4x + 5(2x + 3) + -3 + 3x Combine like terms: 8x + -4x = 4x 12 + 4x + 5x = -4x + 5(2x + 3) + -3 + 3x Combine like terms: 4x + 5x = 9x 12 + 9x = -4x + 5(2x + 3) + -3 + 3x Reorder the terms: 12 + 9x = -4x + 5(3 + 2x) + -3 + 3x 12 + 9x = -4x + (3 * 5 + 2x * 5) + -3 + 3x 12 + 9x = -4x + (15 + 10x) + -3 + 3x Reorder the terms: 12 + 9x = 15 + -3 + -4x + 10x + 3x Combine like terms: 15 + -3 = 12 12 + 9x = 12 + -4x + 10x + 3x Combine like terms: -4x + 10x = 6x 12 + 9x = 12 + 6x + 3x Combine like terms: 6x + 3x = 9x 12 + 9x = 12 + 9x Add '-12' to each side of the equation. 12 + -12 + 9x = 12 + -12 + 9x Combine like terms: 12 + -12 = 0 0 + 9x = 12 + -12 + 9x 9x = 12 + -12 + 9x Combine like terms: 12 + -12 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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