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Simplifying 4(x + -4) + x = 5(x + -5) + 9 Reorder the terms: 4(-4 + x) + x = 5(x + -5) + 9 (-4 * 4 + x * 4) + x = 5(x + -5) + 9 (-16 + 4x) + x = 5(x + -5) + 9 Combine like terms: 4x + x = 5x -16 + 5x = 5(x + -5) + 9 Reorder the terms: -16 + 5x = 5(-5 + x) + 9 -16 + 5x = (-5 * 5 + x * 5) + 9 -16 + 5x = (-25 + 5x) + 9 Reorder the terms: -16 + 5x = -25 + 9 + 5x Combine like terms: -25 + 9 = -16 -16 + 5x = -16 + 5x Add '16' to each side of the equation. -16 + 16 + 5x = -16 + 16 + 5x Combine like terms: -16 + 16 = 0 0 + 5x = -16 + 16 + 5x 5x = -16 + 16 + 5x Combine like terms: -16 + 16 = 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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