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Simplifying 2(x + 8) + -5(4x + 7) = 11 + -10x + -11 Reorder the terms: 2(8 + x) + -5(4x + 7) = 11 + -10x + -11 (8 * 2 + x * 2) + -5(4x + 7) = 11 + -10x + -11 (16 + 2x) + -5(4x + 7) = 11 + -10x + -11 Reorder the terms: 16 + 2x + -5(7 + 4x) = 11 + -10x + -11 16 + 2x + (7 * -5 + 4x * -5) = 11 + -10x + -11 16 + 2x + (-35 + -20x) = 11 + -10x + -11 Reorder the terms: 16 + -35 + 2x + -20x = 11 + -10x + -11 Combine like terms: 16 + -35 = -19 -19 + 2x + -20x = 11 + -10x + -11 Combine like terms: 2x + -20x = -18x -19 + -18x = 11 + -10x + -11 Reorder the terms: -19 + -18x = 11 + -11 + -10x Combine like terms: 11 + -11 = 0 -19 + -18x = 0 + -10x -19 + -18x = -10x Solving -19 + -18x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -19 + -18x + 10x = -10x + 10x Combine like terms: -18x + 10x = -8x -19 + -8x = -10x + 10x Combine like terms: -10x + 10x = 0 -19 + -8x = 0 Add '19' to each side of the equation. -19 + 19 + -8x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 0 + 19 -8x = 0 + 19 Combine like terms: 0 + 19 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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