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Simplifying 10x + -17 = 2(3x + -4) + 4x + -9 Reorder the terms: -17 + 10x = 2(3x + -4) + 4x + -9 Reorder the terms: -17 + 10x = 2(-4 + 3x) + 4x + -9 -17 + 10x = (-4 * 2 + 3x * 2) + 4x + -9 -17 + 10x = (-8 + 6x) + 4x + -9 Reorder the terms: -17 + 10x = -8 + -9 + 6x + 4x Combine like terms: -8 + -9 = -17 -17 + 10x = -17 + 6x + 4x Combine like terms: 6x + 4x = 10x -17 + 10x = -17 + 10x Add '17' to each side of the equation. -17 + 17 + 10x = -17 + 17 + 10x Combine like terms: -17 + 17 = 0 0 + 10x = -17 + 17 + 10x 10x = -17 + 17 + 10x Combine like terms: -17 + 17 = 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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