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Simplifying 4(x + -5) + -2(x + 3) = 2(x + -13) Reorder the terms: 4(-5 + x) + -2(x + 3) = 2(x + -13) (-5 * 4 + x * 4) + -2(x + 3) = 2(x + -13) (-20 + 4x) + -2(x + 3) = 2(x + -13) Reorder the terms: -20 + 4x + -2(3 + x) = 2(x + -13) -20 + 4x + (3 * -2 + x * -2) = 2(x + -13) -20 + 4x + (-6 + -2x) = 2(x + -13) Reorder the terms: -20 + -6 + 4x + -2x = 2(x + -13) Combine like terms: -20 + -6 = -26 -26 + 4x + -2x = 2(x + -13) Combine like terms: 4x + -2x = 2x -26 + 2x = 2(x + -13) Reorder the terms: -26 + 2x = 2(-13 + x) -26 + 2x = (-13 * 2 + x * 2) -26 + 2x = (-26 + 2x) Add '26' to each side of the equation. -26 + 26 + 2x = -26 + 26 + 2x Combine like terms: -26 + 26 = 0 0 + 2x = -26 + 26 + 2x 2x = -26 + 26 + 2x Combine like terms: -26 + 26 = 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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