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Simplifying 2(4x + -5) = 4(2x + -3) + 2 Reorder the terms: 2(-5 + 4x) = 4(2x + -3) + 2 (-5 * 2 + 4x * 2) = 4(2x + -3) + 2 (-10 + 8x) = 4(2x + -3) + 2 Reorder the terms: -10 + 8x = 4(-3 + 2x) + 2 -10 + 8x = (-3 * 4 + 2x * 4) + 2 -10 + 8x = (-12 + 8x) + 2 Reorder the terms: -10 + 8x = -12 + 2 + 8x Combine like terms: -12 + 2 = -10 -10 + 8x = -10 + 8x Add '10' to each side of the equation. -10 + 10 + 8x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 0 + 8x = -10 + 10 + 8x 8x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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