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Simplifying 10(4 + -1(3 + -2x)) + 4x = 3(8x + 4) + -2 10(4 + (3 * -1 + -2x * -1)) + 4x = 3(8x + 4) + -2 10(4 + (-3 + 2x)) + 4x = 3(8x + 4) + -2 Combine like terms: 4 + -3 = 1 10(1 + 2x) + 4x = 3(8x + 4) + -2 (1 * 10 + 2x * 10) + 4x = 3(8x + 4) + -2 (10 + 20x) + 4x = 3(8x + 4) + -2 Combine like terms: 20x + 4x = 24x 10 + 24x = 3(8x + 4) + -2 Reorder the terms: 10 + 24x = 3(4 + 8x) + -2 10 + 24x = (4 * 3 + 8x * 3) + -2 10 + 24x = (12 + 24x) + -2 Reorder the terms: 10 + 24x = 12 + -2 + 24x Combine like terms: 12 + -2 = 10 10 + 24x = 10 + 24x Add '-10' to each side of the equation. 10 + -10 + 24x = 10 + -10 + 24x Combine like terms: 10 + -10 = 0 0 + 24x = 10 + -10 + 24x 24x = 10 + -10 + 24x Combine like terms: 10 + -10 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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