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Simplifying 6(x + -1) + -9 = 3x + 3(-5 + x) Reorder the terms: 6(-1 + x) + -9 = 3x + 3(-5 + x) (-1 * 6 + x * 6) + -9 = 3x + 3(-5 + x) (-6 + 6x) + -9 = 3x + 3(-5 + x) Reorder the terms: -6 + -9 + 6x = 3x + 3(-5 + x) Combine like terms: -6 + -9 = -15 -15 + 6x = 3x + 3(-5 + x) -15 + 6x = 3x + (-5 * 3 + x * 3) -15 + 6x = 3x + (-15 + 3x) Reorder the terms: -15 + 6x = -15 + 3x + 3x Combine like terms: 3x + 3x = 6x -15 + 6x = -15 + 6x Add '15' to each side of the equation. -15 + 15 + 6x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 0 + 6x = -15 + 15 + 6x 6x = -15 + 15 + 6x Combine like terms: -15 + 15 = 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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