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Simplifying 6(x + -5) + 5x = -3(x + 10) + 14x Reorder the terms: 6(-5 + x) + 5x = -3(x + 10) + 14x (-5 * 6 + x * 6) + 5x = -3(x + 10) + 14x (-30 + 6x) + 5x = -3(x + 10) + 14x Combine like terms: 6x + 5x = 11x -30 + 11x = -3(x + 10) + 14x Reorder the terms: -30 + 11x = -3(10 + x) + 14x -30 + 11x = (10 * -3 + x * -3) + 14x -30 + 11x = (-30 + -3x) + 14x Combine like terms: -3x + 14x = 11x -30 + 11x = -30 + 11x Add '30' to each side of the equation. -30 + 30 + 11x = -30 + 30 + 11x Combine like terms: -30 + 30 = 0 0 + 11x = -30 + 30 + 11x 11x = -30 + 30 + 11x Combine like terms: -30 + 30 = 0 11x = 0 + 11x 11x = 11x Add '-11x' to each side of the equation. 11x + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 11x + -11x Combine like terms: 11x + -11x = 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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