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Simplifying 13[4 + -1(3 + -3x)] + x = 5(8x + 3) + -2 13[4 + (3 * -1 + -3x * -1)] + x = 5(8x + 3) + -2 13[4 + (-3 + 3x)] + x = 5(8x + 3) + -2 Combine like terms: 4 + -3 = 1 13[1 + 3x] + x = 5(8x + 3) + -2 [1 * 13 + 3x * 13] + x = 5(8x + 3) + -2 [13 + 39x] + x = 5(8x + 3) + -2 Combine like terms: 39x + x = 40x 13 + 40x = 5(8x + 3) + -2 Reorder the terms: 13 + 40x = 5(3 + 8x) + -2 13 + 40x = (3 * 5 + 8x * 5) + -2 13 + 40x = (15 + 40x) + -2 Reorder the terms: 13 + 40x = 15 + -2 + 40x Combine like terms: 15 + -2 = 13 13 + 40x = 13 + 40x Add '-13' to each side of the equation. 13 + -13 + 40x = 13 + -13 + 40x Combine like terms: 13 + -13 = 0 0 + 40x = 13 + -13 + 40x 40x = 13 + -13 + 40x Combine like terms: 13 + -13 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 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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