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Simplifying 8x + -5(2 + x) = 2 + 3(x + -4) 8x + (2 * -5 + x * -5) = 2 + 3(x + -4) 8x + (-10 + -5x) = 2 + 3(x + -4) Reorder the terms: -10 + 8x + -5x = 2 + 3(x + -4) Combine like terms: 8x + -5x = 3x -10 + 3x = 2 + 3(x + -4) Reorder the terms: -10 + 3x = 2 + 3(-4 + x) -10 + 3x = 2 + (-4 * 3 + x * 3) -10 + 3x = 2 + (-12 + 3x) Combine like terms: 2 + -12 = -10 -10 + 3x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + 3x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + 3x = -10 + 10 + 3x 3x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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