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Simplifying 0.5(2x + -8) + x + -2 = 2(x + -3) Reorder the terms: 0.5(-8 + 2x) + x + -2 = 2(x + -3) (-8 * 0.5 + 2x * 0.5) + x + -2 = 2(x + -3) (-4 + 1x) + x + -2 = 2(x + -3) Reorder the terms: -4 + -2 + 1x + x = 2(x + -3) Combine like terms: -4 + -2 = -6 -6 + 1x + x = 2(x + -3) Combine like terms: 1x + x = 2x -6 + 2x = 2(x + -3) Reorder the terms: -6 + 2x = 2(-3 + x) -6 + 2x = (-3 * 2 + x * 2) -6 + 2x = (-6 + 2x) Add '6' to each side of the equation. -6 + 6 + 2x = -6 + 6 + 2x Combine like terms: -6 + 6 = 0 0 + 2x = -6 + 6 + 2x 2x = -6 + 6 + 2x Combine like terms: -6 + 6 = 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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