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Simplifying 5(8x + -12) = 10(4x + -6) Reorder the terms: 5(-12 + 8x) = 10(4x + -6) (-12 * 5 + 8x * 5) = 10(4x + -6) (-60 + 40x) = 10(4x + -6) Reorder the terms: -60 + 40x = 10(-6 + 4x) -60 + 40x = (-6 * 10 + 4x * 10) -60 + 40x = (-60 + 40x) Add '60' to each side of the equation. -60 + 60 + 40x = -60 + 60 + 40x Combine like terms: -60 + 60 = 0 0 + 40x = -60 + 60 + 40x 40x = -60 + 60 + 40x Combine like terms: -60 + 60 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 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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