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Simplifying 9(x + -3) + -15 = 3x + -12 + 6(x + -5) Reorder the terms: 9(-3 + x) + -15 = 3x + -12 + 6(x + -5) (-3 * 9 + x * 9) + -15 = 3x + -12 + 6(x + -5) (-27 + 9x) + -15 = 3x + -12 + 6(x + -5) Reorder the terms: -27 + -15 + 9x = 3x + -12 + 6(x + -5) Combine like terms: -27 + -15 = -42 -42 + 9x = 3x + -12 + 6(x + -5) Reorder the terms: -42 + 9x = 3x + -12 + 6(-5 + x) -42 + 9x = 3x + -12 + (-5 * 6 + x * 6) -42 + 9x = 3x + -12 + (-30 + 6x) Reorder the terms: -42 + 9x = -12 + -30 + 3x + 6x Combine like terms: -12 + -30 = -42 -42 + 9x = -42 + 3x + 6x Combine like terms: 3x + 6x = 9x -42 + 9x = -42 + 9x Add '42' to each side of the equation. -42 + 42 + 9x = -42 + 42 + 9x Combine like terms: -42 + 42 = 0 0 + 9x = -42 + 42 + 9x 9x = -42 + 42 + 9x Combine like terms: -42 + 42 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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