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Simplifying 6x + -10 = 3x + 5 + 3(x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 3(x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 3(-5 + x) -10 + 6x = 3x + 5 + (-5 * 3 + x * 3) -10 + 6x = 3x + 5 + (-15 + 3x) Reorder the terms: -10 + 6x = 5 + -15 + 3x + 3x Combine like terms: 5 + -15 = -10 -10 + 6x = -10 + 3x + 3x Combine like terms: 3x + 3x = 6x -10 + 6x = -10 + 6x Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 6x 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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