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Simplifying -9(x + 5) = -6(1 + 2x) + 6x Reorder the terms: -9(5 + x) = -6(1 + 2x) + 6x (5 * -9 + x * -9) = -6(1 + 2x) + 6x (-45 + -9x) = -6(1 + 2x) + 6x -45 + -9x = (1 * -6 + 2x * -6) + 6x -45 + -9x = (-6 + -12x) + 6x Combine like terms: -12x + 6x = -6x -45 + -9x = -6 + -6x Solving -45 + -9x = -6 + -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. -45 + -9x + 6x = -6 + -6x + 6x Combine like terms: -9x + 6x = -3x -45 + -3x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -45 + -3x = -6 + 0 -45 + -3x = -6 Add '45' to each side of the equation. -45 + 45 + -3x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -6 + 45 -3x = -6 + 45 Combine like terms: -6 + 45 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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