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Simplifying 9 + -3(-5x + 9) = -6(-3x + 6) + 7 Reorder the terms: 9 + -3(9 + -5x) = -6(-3x + 6) + 7 9 + (9 * -3 + -5x * -3) = -6(-3x + 6) + 7 9 + (-27 + 15x) = -6(-3x + 6) + 7 Combine like terms: 9 + -27 = -18 -18 + 15x = -6(-3x + 6) + 7 Reorder the terms: -18 + 15x = -6(6 + -3x) + 7 -18 + 15x = (6 * -6 + -3x * -6) + 7 -18 + 15x = (-36 + 18x) + 7 Reorder the terms: -18 + 15x = -36 + 7 + 18x Combine like terms: -36 + 7 = -29 -18 + 15x = -29 + 18x Solving -18 + 15x = -29 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -18 + 15x + -18x = -29 + 18x + -18x Combine like terms: 15x + -18x = -3x -18 + -3x = -29 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + -3x = -29 + 0 -18 + -3x = -29 Add '18' to each side of the equation. -18 + 18 + -3x = -29 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -29 + 18 -3x = -29 + 18 Combine like terms: -29 + 18 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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