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Simplifying -6(7 + 5x) + -3x = -6(1 + 5x) (7 * -6 + 5x * -6) + -3x = -6(1 + 5x) (-42 + -30x) + -3x = -6(1 + 5x) Combine like terms: -30x + -3x = -33x -42 + -33x = -6(1 + 5x) -42 + -33x = (1 * -6 + 5x * -6) -42 + -33x = (-6 + -30x) Solving -42 + -33x = -6 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -42 + -33x + 30x = -6 + -30x + 30x Combine like terms: -33x + 30x = -3x -42 + -3x = -6 + -30x + 30x Combine like terms: -30x + 30x = 0 -42 + -3x = -6 + 0 -42 + -3x = -6 Add '42' to each side of the equation. -42 + 42 + -3x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -6 + 42 -3x = -6 + 42 Combine like terms: -6 + 42 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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