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Simplifying -11 = -4(x + 5) + -3(1 + -2x) Reorder the terms: -11 = -4(5 + x) + -3(1 + -2x) -11 = (5 * -4 + x * -4) + -3(1 + -2x) -11 = (-20 + -4x) + -3(1 + -2x) -11 = -20 + -4x + (1 * -3 + -2x * -3) -11 = -20 + -4x + (-3 + 6x) Reorder the terms: -11 = -20 + -3 + -4x + 6x Combine like terms: -20 + -3 = -23 -11 = -23 + -4x + 6x Combine like terms: -4x + 6x = 2x -11 = -23 + 2x Solving -11 = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + -2x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -2x = -23 + 0 -11 + -2x = -23 Add '11' to each side of the equation. -11 + 11 + -2x = -23 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -23 + 11 -2x = -23 + 11 Combine like terms: -23 + 11 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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