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Simplifying 9x + -3(2 + x) + 8 = 6(x + 2) + -10 9x + (2 * -3 + x * -3) + 8 = 6(x + 2) + -10 9x + (-6 + -3x) + 8 = 6(x + 2) + -10 Reorder the terms: -6 + 8 + 9x + -3x = 6(x + 2) + -10 Combine like terms: -6 + 8 = 2 2 + 9x + -3x = 6(x + 2) + -10 Combine like terms: 9x + -3x = 6x 2 + 6x = 6(x + 2) + -10 Reorder the terms: 2 + 6x = 6(2 + x) + -10 2 + 6x = (2 * 6 + x * 6) + -10 2 + 6x = (12 + 6x) + -10 Reorder the terms: 2 + 6x = 12 + -10 + 6x Combine like terms: 12 + -10 = 2 2 + 6x = 2 + 6x Add '-2' to each side of the equation. 2 + -2 + 6x = 2 + -2 + 6x Combine like terms: 2 + -2 = 0 0 + 6x = 2 + -2 + 6x 6x = 2 + -2 + 6x Combine like terms: 2 + -2 = 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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