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Simplifying 5(2x + 1) + -8 = 4x + -3(1 + -2x) Reorder the terms: 5(1 + 2x) + -8 = 4x + -3(1 + -2x) (1 * 5 + 2x * 5) + -8 = 4x + -3(1 + -2x) (5 + 10x) + -8 = 4x + -3(1 + -2x) Reorder the terms: 5 + -8 + 10x = 4x + -3(1 + -2x) Combine like terms: 5 + -8 = -3 -3 + 10x = 4x + -3(1 + -2x) -3 + 10x = 4x + (1 * -3 + -2x * -3) -3 + 10x = 4x + (-3 + 6x) Reorder the terms: -3 + 10x = -3 + 4x + 6x Combine like terms: 4x + 6x = 10x -3 + 10x = -3 + 10x Add '3' to each side of the equation. -3 + 3 + 10x = -3 + 3 + 10x Combine like terms: -3 + 3 = 0 0 + 10x = -3 + 3 + 10x 10x = -3 + 3 + 10x Combine like terms: -3 + 3 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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