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Simplifying 9(x + -4) + x = 10(x + -5) + 14 Reorder the terms: 9(-4 + x) + x = 10(x + -5) + 14 (-4 * 9 + x * 9) + x = 10(x + -5) + 14 (-36 + 9x) + x = 10(x + -5) + 14 Combine like terms: 9x + x = 10x -36 + 10x = 10(x + -5) + 14 Reorder the terms: -36 + 10x = 10(-5 + x) + 14 -36 + 10x = (-5 * 10 + x * 10) + 14 -36 + 10x = (-50 + 10x) + 14 Reorder the terms: -36 + 10x = -50 + 14 + 10x Combine like terms: -50 + 14 = -36 -36 + 10x = -36 + 10x Add '36' to each side of the equation. -36 + 36 + 10x = -36 + 36 + 10x Combine like terms: -36 + 36 = 0 0 + 10x = -36 + 36 + 10x 10x = -36 + 36 + 10x Combine like terms: -36 + 36 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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