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Simplifying 4(7 + -5x) + -8(2 + -6x) + 9 = 11(3x + 1) + -5x + 10 (7 * 4 + -5x * 4) + -8(2 + -6x) + 9 = 11(3x + 1) + -5x + 10 (28 + -20x) + -8(2 + -6x) + 9 = 11(3x + 1) + -5x + 10 28 + -20x + (2 * -8 + -6x * -8) + 9 = 11(3x + 1) + -5x + 10 28 + -20x + (-16 + 48x) + 9 = 11(3x + 1) + -5x + 10 Reorder the terms: 28 + -16 + 9 + -20x + 48x = 11(3x + 1) + -5x + 10 Combine like terms: 28 + -16 = 12 12 + 9 + -20x + 48x = 11(3x + 1) + -5x + 10 Combine like terms: 12 + 9 = 21 21 + -20x + 48x = 11(3x + 1) + -5x + 10 Combine like terms: -20x + 48x = 28x 21 + 28x = 11(3x + 1) + -5x + 10 Reorder the terms: 21 + 28x = 11(1 + 3x) + -5x + 10 21 + 28x = (1 * 11 + 3x * 11) + -5x + 10 21 + 28x = (11 + 33x) + -5x + 10 Reorder the terms: 21 + 28x = 11 + 10 + 33x + -5x Combine like terms: 11 + 10 = 21 21 + 28x = 21 + 33x + -5x Combine like terms: 33x + -5x = 28x 21 + 28x = 21 + 28x Add '-21' to each side of the equation. 21 + -21 + 28x = 21 + -21 + 28x Combine like terms: 21 + -21 = 0 0 + 28x = 21 + -21 + 28x 28x = 21 + -21 + 28x Combine like terms: 21 + -21 = 0 28x = 0 + 28x 28x = 28x Add '-28x' to each side of the equation. 28x + -28x = 28x + -28x Combine like terms: 28x + -28x = 0 0 = 28x + -28x Combine like terms: 28x + -28x = 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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