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Simplifying 4(x + -9) = x + 3(x + -12) Reorder the terms: 4(-9 + x) = x + 3(x + -12) (-9 * 4 + x * 4) = x + 3(x + -12) (-36 + 4x) = x + 3(x + -12) Reorder the terms: -36 + 4x = x + 3(-12 + x) -36 + 4x = x + (-12 * 3 + x * 3) -36 + 4x = x + (-36 + 3x) Reorder the terms: -36 + 4x = -36 + x + 3x Combine like terms: x + 3x = 4x -36 + 4x = -36 + 4x Add '36' to each side of the equation. -36 + 36 + 4x = -36 + 36 + 4x Combine like terms: -36 + 36 = 0 0 + 4x = -36 + 36 + 4x 4x = -36 + 36 + 4x Combine like terms: -36 + 36 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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