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Simplifying 5x + -17 = 3(x + -3) + 2(x + -4) Reorder the terms: -17 + 5x = 3(x + -3) + 2(x + -4) Reorder the terms: -17 + 5x = 3(-3 + x) + 2(x + -4) -17 + 5x = (-3 * 3 + x * 3) + 2(x + -4) -17 + 5x = (-9 + 3x) + 2(x + -4) Reorder the terms: -17 + 5x = -9 + 3x + 2(-4 + x) -17 + 5x = -9 + 3x + (-4 * 2 + x * 2) -17 + 5x = -9 + 3x + (-8 + 2x) Reorder the terms: -17 + 5x = -9 + -8 + 3x + 2x Combine like terms: -9 + -8 = -17 -17 + 5x = -17 + 3x + 2x Combine like terms: 3x + 2x = 5x -17 + 5x = -17 + 5x Add '17' to each side of the equation. -17 + 17 + 5x = -17 + 17 + 5x Combine like terms: -17 + 17 = 0 0 + 5x = -17 + 17 + 5x 5x = -17 + 17 + 5x Combine like terms: -17 + 17 = 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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