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Simplifying 4(2x + 5) + -1(3x + -5) = x + -11 Reorder the terms: 4(5 + 2x) + -1(3x + -5) = x + -11 (5 * 4 + 2x * 4) + -1(3x + -5) = x + -11 (20 + 8x) + -1(3x + -5) = x + -11 Reorder the terms: 20 + 8x + -1(-5 + 3x) = x + -11 20 + 8x + (-5 * -1 + 3x * -1) = x + -11 20 + 8x + (5 + -3x) = x + -11 Reorder the terms: 20 + 5 + 8x + -3x = x + -11 Combine like terms: 20 + 5 = 25 25 + 8x + -3x = x + -11 Combine like terms: 8x + -3x = 5x 25 + 5x = x + -11 Reorder the terms: 25 + 5x = -11 + x Solving 25 + 5x = -11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + 5x + -1x = -11 + x + -1x Combine like terms: 5x + -1x = 4x 25 + 4x = -11 + x + -1x Combine like terms: x + -1x = 0 25 + 4x = -11 + 0 25 + 4x = -11 Add '-25' to each side of the equation. 25 + -25 + 4x = -11 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = -11 + -25 4x = -11 + -25 Combine like terms: -11 + -25 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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