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Simplifying 12(0.5x + -5) = -6(-1x + 10) Reorder the terms: 12(-5 + 0.5x) = -6(-1x + 10) (-5 * 12 + 0.5x * 12) = -6(-1x + 10) (-60 + 6x) = -6(-1x + 10) Reorder the terms: -60 + 6x = -6(10 + -1x) -60 + 6x = (10 * -6 + -1x * -6) -60 + 6x = (-60 + 6x) Add '60' to each side of the equation. -60 + 60 + 6x = -60 + 60 + 6x Combine like terms: -60 + 60 = 0 0 + 6x = -60 + 60 + 6x 6x = -60 + 60 + 6x Combine like terms: -60 + 60 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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