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Simplifying 4(x + 5) + -1(3x + 6) = 6x + -11 Reorder the terms: 4(5 + x) + -1(3x + 6) = 6x + -11 (5 * 4 + x * 4) + -1(3x + 6) = 6x + -11 (20 + 4x) + -1(3x + 6) = 6x + -11 Reorder the terms: 20 + 4x + -1(6 + 3x) = 6x + -11 20 + 4x + (6 * -1 + 3x * -1) = 6x + -11 20 + 4x + (-6 + -3x) = 6x + -11 Reorder the terms: 20 + -6 + 4x + -3x = 6x + -11 Combine like terms: 20 + -6 = 14 14 + 4x + -3x = 6x + -11 Combine like terms: 4x + -3x = 1x 14 + 1x = 6x + -11 Reorder the terms: 14 + 1x = -11 + 6x Solving 14 + 1x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 1x + -6x = -11 + 6x + -6x Combine like terms: 1x + -6x = -5x 14 + -5x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -5x = -11 + 0 14 + -5x = -11 Add '-14' to each side of the equation. 14 + -14 + -5x = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -11 + -14 -5x = -11 + -14 Combine like terms: -11 + -14 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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