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Simplifying 6(x + 5) + -5x = 3(x + 10) + -2x Reorder the terms: 6(5 + x) + -5x = 3(x + 10) + -2x (5 * 6 + x * 6) + -5x = 3(x + 10) + -2x (30 + 6x) + -5x = 3(x + 10) + -2x Combine like terms: 6x + -5x = 1x 30 + 1x = 3(x + 10) + -2x Reorder the terms: 30 + 1x = 3(10 + x) + -2x 30 + 1x = (10 * 3 + x * 3) + -2x 30 + 1x = (30 + 3x) + -2x Combine like terms: 3x + -2x = 1x 30 + 1x = 30 + 1x Add '-30' to each side of the equation. 30 + -30 + 1x = 30 + -30 + 1x Combine like terms: 30 + -30 = 0 0 + 1x = 30 + -30 + 1x 1x = 30 + -30 + 1x Combine like terms: 30 + -30 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 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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