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Simplifying -48 = -6(-5 + -7x) + -1(2x + -2) -48 = (-5 * -6 + -7x * -6) + -1(2x + -2) -48 = (30 + 42x) + -1(2x + -2) Reorder the terms: -48 = 30 + 42x + -1(-2 + 2x) -48 = 30 + 42x + (-2 * -1 + 2x * -1) -48 = 30 + 42x + (2 + -2x) Reorder the terms: -48 = 30 + 2 + 42x + -2x Combine like terms: 30 + 2 = 32 -48 = 32 + 42x + -2x Combine like terms: 42x + -2x = 40x -48 = 32 + 40x Solving -48 = 32 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -48 + -40x = 32 + 40x + -40x Combine like terms: 40x + -40x = 0 -48 + -40x = 32 + 0 -48 + -40x = 32 Add '48' to each side of the equation. -48 + 48 + -40x = 32 + 48 Combine like terms: -48 + 48 = 0 0 + -40x = 32 + 48 -40x = 32 + 48 Combine like terms: 32 + 48 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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