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