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Simplifying 2x + -1(x + 1) = -3 + 5(x + -6) Reorder the terms: 2x + -1(1 + x) = -3 + 5(x + -6) 2x + (1 * -1 + x * -1) = -3 + 5(x + -6) 2x + (-1 + -1x) = -3 + 5(x + -6) Reorder the terms: -1 + 2x + -1x = -3 + 5(x + -6) Combine like terms: 2x + -1x = 1x -1 + 1x = -3 + 5(x + -6) Reorder the terms: -1 + 1x = -3 + 5(-6 + x) -1 + 1x = -3 + (-6 * 5 + x * 5) -1 + 1x = -3 + (-30 + 5x) Combine like terms: -3 + -30 = -33 -1 + 1x = -33 + 5x Solving -1 + 1x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 1x + -5x = -33 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = -33 + 0 -1 + -4x = -33 Add '1' to each side of the equation. -1 + 1 + -4x = -33 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -33 + 1 -4x = -33 + 1 Combine like terms: -33 + 1 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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