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Simplifying (8x * 2 + 5x + 4) + -1(8x * 2 + 5) = 8x + 10 Reorder the terms for easier multiplication: (8 * 2x + 5x + 4) + -1(8x * 2 + 5) = 8x + 10 Multiply 8 * 2 (16x + 5x + 4) + -1(8x * 2 + 5) = 8x + 10 Reorder the terms: (4 + 16x + 5x) + -1(8x * 2 + 5) = 8x + 10 Combine like terms: 16x + 5x = 21x (4 + 21x) + -1(8x * 2 + 5) = 8x + 10 Remove parenthesis around (4 + 21x) 4 + 21x + -1(8x * 2 + 5) = 8x + 10 Reorder the terms for easier multiplication: 4 + 21x + -1(8 * 2x + 5) = 8x + 10 Multiply 8 * 2 4 + 21x + -1(16x + 5) = 8x + 10 Reorder the terms: 4 + 21x + -1(5 + 16x) = 8x + 10 4 + 21x + (5 * -1 + 16x * -1) = 8x + 10 4 + 21x + (-5 + -16x) = 8x + 10 Reorder the terms: 4 + -5 + 21x + -16x = 8x + 10 Combine like terms: 4 + -5 = -1 -1 + 21x + -16x = 8x + 10 Combine like terms: 21x + -16x = 5x -1 + 5x = 8x + 10 Reorder the terms: -1 + 5x = 10 + 8x Solving -1 + 5x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 5x + -8x = 10 + 8x + -8x Combine like terms: 5x + -8x = -3x -1 + -3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -3x = 10 + 0 -1 + -3x = 10 Add '1' to each side of the equation. -1 + 1 + -3x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 10 + 1 -3x = 10 + 1 Combine like terms: 10 + 1 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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