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Simplifying 0.5(2x + -6) = 4(0.25x + -0.75) Reorder the terms: 0.5(-6 + 2x) = 4(0.25x + -0.75) (-6 * 0.5 + 2x * 0.5) = 4(0.25x + -0.75) (-3 + 1x) = 4(0.25x + -0.75) Reorder the terms: -3 + 1x = 4(-0.75 + 0.25x) -3 + 1x = (-0.75 * 4 + 0.25x * 4) -3 + 1x = (-3 + 1x) Add '3' to each side of the equation. -3 + 3 + 1x = -3 + 3 + 1x Combine like terms: -3 + 3 = 0 0 + 1x = -3 + 3 + 1x 1x = -3 + 3 + 1x Combine like terms: -3 + 3 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 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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