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Simplifying 4(6 + -1(1 + 2x)) + 10x = 2(10 + -3x) + 8x 4(6 + (1 * -1 + 2x * -1)) + 10x = 2(10 + -3x) + 8x 4(6 + (-1 + -2x)) + 10x = 2(10 + -3x) + 8x Combine like terms: 6 + -1 = 5 4(5 + -2x) + 10x = 2(10 + -3x) + 8x (5 * 4 + -2x * 4) + 10x = 2(10 + -3x) + 8x (20 + -8x) + 10x = 2(10 + -3x) + 8x Combine like terms: -8x + 10x = 2x 20 + 2x = 2(10 + -3x) + 8x 20 + 2x = (10 * 2 + -3x * 2) + 8x 20 + 2x = (20 + -6x) + 8x Combine like terms: -6x + 8x = 2x 20 + 2x = 20 + 2x Add '-20' to each side of the equation. 20 + -20 + 2x = 20 + -20 + 2x Combine like terms: 20 + -20 = 0 0 + 2x = 20 + -20 + 2x 2x = 20 + -20 + 2x Combine like terms: 20 + -20 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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