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Simplifying 3 + 5(x + -1) = 2(x + -6) + 1 Reorder the terms: 3 + 5(-1 + x) = 2(x + -6) + 1 3 + (-1 * 5 + x * 5) = 2(x + -6) + 1 3 + (-5 + 5x) = 2(x + -6) + 1 Combine like terms: 3 + -5 = -2 -2 + 5x = 2(x + -6) + 1 Reorder the terms: -2 + 5x = 2(-6 + x) + 1 -2 + 5x = (-6 * 2 + x * 2) + 1 -2 + 5x = (-12 + 2x) + 1 Reorder the terms: -2 + 5x = -12 + 1 + 2x Combine like terms: -12 + 1 = -11 -2 + 5x = -11 + 2x Solving -2 + 5x = -11 + 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. -2 + 5x + -2x = -11 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = -11 + 0 -2 + 3x = -11 Add '2' to each side of the equation. -2 + 2 + 3x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -11 + 2 3x = -11 + 2 Combine like terms: -11 + 2 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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