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Simplifying -1 = 5(x + -3) + -1(x + -6) Reorder the terms: -1 = 5(-3 + x) + -1(x + -6) -1 = (-3 * 5 + x * 5) + -1(x + -6) -1 = (-15 + 5x) + -1(x + -6) Reorder the terms: -1 = -15 + 5x + -1(-6 + x) -1 = -15 + 5x + (-6 * -1 + x * -1) -1 = -15 + 5x + (6 + -1x) Reorder the terms: -1 = -15 + 6 + 5x + -1x Combine like terms: -15 + 6 = -9 -1 = -9 + 5x + -1x Combine like terms: 5x + -1x = 4x -1 = -9 + 4x Solving -1 = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -4x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -4x = -9 + 0 -1 + -4x = -9 Add '1' to each side of the equation. -1 + 1 + -4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -9 + 1 -4x = -9 + 1 Combine like terms: -9 + 1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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