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Simplifying 11(x + 5) + -40 = 3(x + 4) + 8x + 3 Reorder the terms: 11(5 + x) + -40 = 3(x + 4) + 8x + 3 (5 * 11 + x * 11) + -40 = 3(x + 4) + 8x + 3 (55 + 11x) + -40 = 3(x + 4) + 8x + 3 Reorder the terms: 55 + -40 + 11x = 3(x + 4) + 8x + 3 Combine like terms: 55 + -40 = 15 15 + 11x = 3(x + 4) + 8x + 3 Reorder the terms: 15 + 11x = 3(4 + x) + 8x + 3 15 + 11x = (4 * 3 + x * 3) + 8x + 3 15 + 11x = (12 + 3x) + 8x + 3 Reorder the terms: 15 + 11x = 12 + 3 + 3x + 8x Combine like terms: 12 + 3 = 15 15 + 11x = 15 + 3x + 8x Combine like terms: 3x + 8x = 11x 15 + 11x = 15 + 11x Add '-15' to each side of the equation. 15 + -15 + 11x = 15 + -15 + 11x Combine like terms: 15 + -15 = 0 0 + 11x = 15 + -15 + 11x 11x = 15 + -15 + 11x Combine like terms: 15 + -15 = 0 11x = 0 + 11x 11x = 11x Add '-11x' to each side of the equation. 11x + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 11x + -11x Combine like terms: 11x + -11x = 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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