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Simplifying 10 + -3x + 5 = 18x + -3(7x + -5) Reorder the terms: 10 + 5 + -3x = 18x + -3(7x + -5) Combine like terms: 10 + 5 = 15 15 + -3x = 18x + -3(7x + -5) Reorder the terms: 15 + -3x = 18x + -3(-5 + 7x) 15 + -3x = 18x + (-5 * -3 + 7x * -3) 15 + -3x = 18x + (15 + -21x) Reorder the terms: 15 + -3x = 15 + 18x + -21x Combine like terms: 18x + -21x = -3x 15 + -3x = 15 + -3x Add '-15' to each side of the equation. 15 + -15 + -3x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 0 + -3x = 15 + -15 + -3x -3x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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