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Simplifying -9x + 12 + 4(3x + -3) = 7(x + -2) + -4x + 14 Reorder the terms: -9x + 12 + 4(-3 + 3x) = 7(x + -2) + -4x + 14 -9x + 12 + (-3 * 4 + 3x * 4) = 7(x + -2) + -4x + 14 -9x + 12 + (-12 + 12x) = 7(x + -2) + -4x + 14 Reorder the terms: 12 + -12 + -9x + 12x = 7(x + -2) + -4x + 14 Combine like terms: 12 + -12 = 0 0 + -9x + 12x = 7(x + -2) + -4x + 14 -9x + 12x = 7(x + -2) + -4x + 14 Combine like terms: -9x + 12x = 3x 3x = 7(x + -2) + -4x + 14 Reorder the terms: 3x = 7(-2 + x) + -4x + 14 3x = (-2 * 7 + x * 7) + -4x + 14 3x = (-14 + 7x) + -4x + 14 Reorder the terms: 3x = -14 + 14 + 7x + -4x Combine like terms: -14 + 14 = 0 3x = 0 + 7x + -4x 3x = 7x + -4x Combine like terms: 7x + -4x = 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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