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Simplifying -3(6x + 9) = 3(-5x + 7) Reorder the terms: -3(9 + 6x) = 3(-5x + 7) (9 * -3 + 6x * -3) = 3(-5x + 7) (-27 + -18x) = 3(-5x + 7) Reorder the terms: -27 + -18x = 3(7 + -5x) -27 + -18x = (7 * 3 + -5x * 3) -27 + -18x = (21 + -15x) Solving -27 + -18x = 21 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -27 + -18x + 15x = 21 + -15x + 15x Combine like terms: -18x + 15x = -3x -27 + -3x = 21 + -15x + 15x Combine like terms: -15x + 15x = 0 -27 + -3x = 21 + 0 -27 + -3x = 21 Add '27' to each side of the equation. -27 + 27 + -3x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 21 + 27 -3x = 21 + 27 Combine like terms: 21 + 27 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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