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Simplifying 4[4 + -1(3 + -7x)] + 2x = 5(6x + 3) + -11 4[4 + (3 * -1 + -7x * -1)] + 2x = 5(6x + 3) + -11 4[4 + (-3 + 7x)] + 2x = 5(6x + 3) + -11 Combine like terms: 4 + -3 = 1 4[1 + 7x] + 2x = 5(6x + 3) + -11 [1 * 4 + 7x * 4] + 2x = 5(6x + 3) + -11 [4 + 28x] + 2x = 5(6x + 3) + -11 Combine like terms: 28x + 2x = 30x 4 + 30x = 5(6x + 3) + -11 Reorder the terms: 4 + 30x = 5(3 + 6x) + -11 4 + 30x = (3 * 5 + 6x * 5) + -11 4 + 30x = (15 + 30x) + -11 Reorder the terms: 4 + 30x = 15 + -11 + 30x Combine like terms: 15 + -11 = 4 4 + 30x = 4 + 30x Add '-4' to each side of the equation. 4 + -4 + 30x = 4 + -4 + 30x Combine like terms: 4 + -4 = 0 0 + 30x = 4 + -4 + 30x 30x = 4 + -4 + 30x Combine like terms: 4 + -4 = 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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