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Simplifying -1(3 + 5x) + 2x = -6(x + -7) (3 * -1 + 5x * -1) + 2x = -6(x + -7) (-3 + -5x) + 2x = -6(x + -7) Combine like terms: -5x + 2x = -3x -3 + -3x = -6(x + -7) Reorder the terms: -3 + -3x = -6(-7 + x) -3 + -3x = (-7 * -6 + x * -6) -3 + -3x = (42 + -6x) Solving -3 + -3x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + -3x + 6x = 42 + -6x + 6x Combine like terms: -3x + 6x = 3x -3 + 3x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 3x = 42 + 0 -3 + 3x = 42 Add '3' to each side of the equation. -3 + 3 + 3x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 42 + 3 3x = 42 + 3 Combine like terms: 42 + 3 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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