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Simplifying -3(3x + -6) + 7x = 9 + 3(4x + -3) Reorder the terms: -3(-6 + 3x) + 7x = 9 + 3(4x + -3) (-6 * -3 + 3x * -3) + 7x = 9 + 3(4x + -3) (18 + -9x) + 7x = 9 + 3(4x + -3) Combine like terms: -9x + 7x = -2x 18 + -2x = 9 + 3(4x + -3) Reorder the terms: 18 + -2x = 9 + 3(-3 + 4x) 18 + -2x = 9 + (-3 * 3 + 4x * 3) 18 + -2x = 9 + (-9 + 12x) Combine like terms: 9 + -9 = 0 18 + -2x = 0 + 12x 18 + -2x = 12x Solving 18 + -2x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -2x + -12x = 12x + -12x Combine like terms: -2x + -12x = -14x 18 + -14x = 12x + -12x Combine like terms: 12x + -12x = 0 18 + -14x = 0 Add '-18' to each side of the equation. 18 + -18 + -14x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = 0 + -18 -14x = 0 + -18 Combine like terms: 0 + -18 = -18 -14x = -18 Divide each side by '-14'. x = 1.285714286 Simplifying x = 1.285714286
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