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Simplifying 4(x + -3) + x = 5(x + -4) + 8 Reorder the terms: 4(-3 + x) + x = 5(x + -4) + 8 (-3 * 4 + x * 4) + x = 5(x + -4) + 8 (-12 + 4x) + x = 5(x + -4) + 8 Combine like terms: 4x + x = 5x -12 + 5x = 5(x + -4) + 8 Reorder the terms: -12 + 5x = 5(-4 + x) + 8 -12 + 5x = (-4 * 5 + x * 5) + 8 -12 + 5x = (-20 + 5x) + 8 Reorder the terms: -12 + 5x = -20 + 8 + 5x Combine like terms: -20 + 8 = -12 -12 + 5x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 5x 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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