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Simplifying -3(1 + 2x) = 7(x + -5) (1 * -3 + 2x * -3) = 7(x + -5) (-3 + -6x) = 7(x + -5) Reorder the terms: -3 + -6x = 7(-5 + x) -3 + -6x = (-5 * 7 + x * 7) -3 + -6x = (-35 + 7x) Solving -3 + -6x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -6x + -7x = -35 + 7x + -7x Combine like terms: -6x + -7x = -13x -3 + -13x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -13x = -35 + 0 -3 + -13x = -35 Add '3' to each side of the equation. -3 + 3 + -13x = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = -35 + 3 -13x = -35 + 3 Combine like terms: -35 + 3 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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