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Simplifying 5[4 + -1(3 + -4x)] + 4x = 3(8x + 5) + -10 5[4 + (3 * -1 + -4x * -1)] + 4x = 3(8x + 5) + -10 5[4 + (-3 + 4x)] + 4x = 3(8x + 5) + -10 Combine like terms: 4 + -3 = 1 5[1 + 4x] + 4x = 3(8x + 5) + -10 [1 * 5 + 4x * 5] + 4x = 3(8x + 5) + -10 [5 + 20x] + 4x = 3(8x + 5) + -10 Combine like terms: 20x + 4x = 24x 5 + 24x = 3(8x + 5) + -10 Reorder the terms: 5 + 24x = 3(5 + 8x) + -10 5 + 24x = (5 * 3 + 8x * 3) + -10 5 + 24x = (15 + 24x) + -10 Reorder the terms: 5 + 24x = 15 + -10 + 24x Combine like terms: 15 + -10 = 5 5 + 24x = 5 + 24x Add '-5' to each side of the equation. 5 + -5 + 24x = 5 + -5 + 24x Combine like terms: 5 + -5 = 0 0 + 24x = 5 + -5 + 24x 24x = 5 + -5 + 24x Combine like terms: 5 + -5 = 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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