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Simplifying 4(x + -3) + 5x = 2(x + -6) + 7x Reorder the terms: 4(-3 + x) + 5x = 2(x + -6) + 7x (-3 * 4 + x * 4) + 5x = 2(x + -6) + 7x (-12 + 4x) + 5x = 2(x + -6) + 7x Combine like terms: 4x + 5x = 9x -12 + 9x = 2(x + -6) + 7x Reorder the terms: -12 + 9x = 2(-6 + x) + 7x -12 + 9x = (-6 * 2 + x * 2) + 7x -12 + 9x = (-12 + 2x) + 7x Combine like terms: 2x + 7x = 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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