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Simplifying 13[5 + -1(4 + -2x)] + 4x = 5(6x + 5) + -12 13[5 + (4 * -1 + -2x * -1)] + 4x = 5(6x + 5) + -12 13[5 + (-4 + 2x)] + 4x = 5(6x + 5) + -12 Combine like terms: 5 + -4 = 1 13[1 + 2x] + 4x = 5(6x + 5) + -12 [1 * 13 + 2x * 13] + 4x = 5(6x + 5) + -12 [13 + 26x] + 4x = 5(6x + 5) + -12 Combine like terms: 26x + 4x = 30x 13 + 30x = 5(6x + 5) + -12 Reorder the terms: 13 + 30x = 5(5 + 6x) + -12 13 + 30x = (5 * 5 + 6x * 5) + -12 13 + 30x = (25 + 30x) + -12 Reorder the terms: 13 + 30x = 25 + -12 + 30x Combine like terms: 25 + -12 = 13 13 + 30x = 13 + 30x Add '-13' to each side of the equation. 13 + -13 + 30x = 13 + -13 + 30x Combine like terms: 13 + -13 = 0 0 + 30x = 13 + -13 + 30x 30x = 13 + -13 + 30x Combine like terms: 13 + -13 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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