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Simplifying -2(x + 3) + -1(x + 4) = -3(x + 4) + 2 Reorder the terms: -2(3 + x) + -1(x + 4) = -3(x + 4) + 2 (3 * -2 + x * -2) + -1(x + 4) = -3(x + 4) + 2 (-6 + -2x) + -1(x + 4) = -3(x + 4) + 2 Reorder the terms: -6 + -2x + -1(4 + x) = -3(x + 4) + 2 -6 + -2x + (4 * -1 + x * -1) = -3(x + 4) + 2 -6 + -2x + (-4 + -1x) = -3(x + 4) + 2 Reorder the terms: -6 + -4 + -2x + -1x = -3(x + 4) + 2 Combine like terms: -6 + -4 = -10 -10 + -2x + -1x = -3(x + 4) + 2 Combine like terms: -2x + -1x = -3x -10 + -3x = -3(x + 4) + 2 Reorder the terms: -10 + -3x = -3(4 + x) + 2 -10 + -3x = (4 * -3 + x * -3) + 2 -10 + -3x = (-12 + -3x) + 2 Reorder the terms: -10 + -3x = -12 + 2 + -3x Combine like terms: -12 + 2 = -10 -10 + -3x = -10 + -3x Add '10' to each side of the equation. -10 + 10 + -3x = -10 + 10 + -3x Combine like terms: -10 + 10 = 0 0 + -3x = -10 + 10 + -3x -3x = -10 + 10 + -3x Combine like terms: -10 + 10 = 0 -3x = 0 + -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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