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