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Simplifying 5(x + -3) + 10 = 8x + -3(x + -2) + -11 Reorder the terms: 5(-3 + x) + 10 = 8x + -3(x + -2) + -11 (-3 * 5 + x * 5) + 10 = 8x + -3(x + -2) + -11 (-15 + 5x) + 10 = 8x + -3(x + -2) + -11 Reorder the terms: -15 + 10 + 5x = 8x + -3(x + -2) + -11 Combine like terms: -15 + 10 = -5 -5 + 5x = 8x + -3(x + -2) + -11 Reorder the terms: -5 + 5x = 8x + -3(-2 + x) + -11 -5 + 5x = 8x + (-2 * -3 + x * -3) + -11 -5 + 5x = 8x + (6 + -3x) + -11 Reorder the terms: -5 + 5x = 6 + -11 + 8x + -3x Combine like terms: 6 + -11 = -5 -5 + 5x = -5 + 8x + -3x Combine like terms: 8x + -3x = 5x -5 + 5x = -5 + 5x Add '5' to each side of the equation. -5 + 5 + 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 0 + 5x = -5 + 5 + 5x 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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