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Simplifying 9(3X + 7) = 4(10X + -33) Reorder the terms: 9(7 + 3X) = 4(10X + -33) (7 * 9 + 3X * 9) = 4(10X + -33) (63 + 27X) = 4(10X + -33) Reorder the terms: 63 + 27X = 4(-33 + 10X) 63 + 27X = (-33 * 4 + 10X * 4) 63 + 27X = (-132 + 40X) Solving 63 + 27X = -132 + 40X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-40X' to each side of the equation. 63 + 27X + -40X = -132 + 40X + -40X Combine like terms: 27X + -40X = -13X 63 + -13X = -132 + 40X + -40X Combine like terms: 40X + -40X = 0 63 + -13X = -132 + 0 63 + -13X = -132 Add '-63' to each side of the equation. 63 + -63 + -13X = -132 + -63 Combine like terms: 63 + -63 = 0 0 + -13X = -132 + -63 -13X = -132 + -63 Combine like terms: -132 + -63 = -195 -13X = -195 Divide each side by '-13'. X = 15 Simplifying X = 15
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