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Simplifying 4(x + -5) + -2(x + -3) = 2x + -14 Reorder the terms: 4(-5 + x) + -2(x + -3) = 2x + -14 (-5 * 4 + x * 4) + -2(x + -3) = 2x + -14 (-20 + 4x) + -2(x + -3) = 2x + -14 Reorder the terms: -20 + 4x + -2(-3 + x) = 2x + -14 -20 + 4x + (-3 * -2 + x * -2) = 2x + -14 -20 + 4x + (6 + -2x) = 2x + -14 Reorder the terms: -20 + 6 + 4x + -2x = 2x + -14 Combine like terms: -20 + 6 = -14 -14 + 4x + -2x = 2x + -14 Combine like terms: 4x + -2x = 2x -14 + 2x = 2x + -14 Reorder the terms: -14 + 2x = -14 + 2x Add '14' to each side of the equation. -14 + 14 + 2x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 2x = -14 + 14 + 2x 2x = -14 + 14 + 2x Combine like terms: -14 + 14 = 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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