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Simplifying 0.25(8x + -12) + -3 = 8x + -1(6x + -1(-6)) Reorder the terms: 0.25(-12 + 8x) + -3 = 8x + -1(6x + -1(-6)) (-12 * 0.25 + 8x * 0.25) + -3 = 8x + -1(6x + -1(-6)) (-3 + 2x) + -3 = 8x + -1(6x + -1(-6)) Reorder the terms: -3 + -3 + 2x = 8x + -1(6x + -1(-6)) Combine like terms: -3 + -3 = -6 -6 + 2x = 8x + -1(6x + -1(-6)) Multiply -1 * -6 -6 + 2x = 8x + -1(6x + 6) Reorder the terms: -6 + 2x = 8x + -1(6 + 6x) -6 + 2x = 8x + (6 * -1 + 6x * -1) -6 + 2x = 8x + (-6 + -6x) Reorder the terms: -6 + 2x = -6 + 8x + -6x Combine like terms: 8x + -6x = 2x -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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