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Simplifying 9(2x + -7) = 5(3x + -6) Reorder the terms: 9(-7 + 2x) = 5(3x + -6) (-7 * 9 + 2x * 9) = 5(3x + -6) (-63 + 18x) = 5(3x + -6) Reorder the terms: -63 + 18x = 5(-6 + 3x) -63 + 18x = (-6 * 5 + 3x * 5) -63 + 18x = (-30 + 15x) Solving -63 + 18x = -30 + 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. -63 + 18x + -15x = -30 + 15x + -15x Combine like terms: 18x + -15x = 3x -63 + 3x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 -63 + 3x = -30 + 0 -63 + 3x = -30 Add '63' to each side of the equation. -63 + 63 + 3x = -30 + 63 Combine like terms: -63 + 63 = 0 0 + 3x = -30 + 63 3x = -30 + 63 Combine like terms: -30 + 63 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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