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Simplifying 9(x + -3) + x = 10(x + -4) + 13 Reorder the terms: 9(-3 + x) + x = 10(x + -4) + 13 (-3 * 9 + x * 9) + x = 10(x + -4) + 13 (-27 + 9x) + x = 10(x + -4) + 13 Combine like terms: 9x + x = 10x -27 + 10x = 10(x + -4) + 13 Reorder the terms: -27 + 10x = 10(-4 + x) + 13 -27 + 10x = (-4 * 10 + x * 10) + 13 -27 + 10x = (-40 + 10x) + 13 Reorder the terms: -27 + 10x = -40 + 13 + 10x Combine like terms: -40 + 13 = -27 -27 + 10x = -27 + 10x Add '27' to each side of the equation. -27 + 27 + 10x = -27 + 27 + 10x Combine like terms: -27 + 27 = 0 0 + 10x = -27 + 27 + 10x 10x = -27 + 27 + 10x Combine like terms: -27 + 27 = 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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