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Simplifying -7(9X + -3) + -15X + 9 = 4(8X + 5) + 20X + -3 Reorder the terms: -7(-3 + 9X) + -15X + 9 = 4(8X + 5) + 20X + -3 (-3 * -7 + 9X * -7) + -15X + 9 = 4(8X + 5) + 20X + -3 (21 + -63X) + -15X + 9 = 4(8X + 5) + 20X + -3 Reorder the terms: 21 + 9 + -63X + -15X = 4(8X + 5) + 20X + -3 Combine like terms: 21 + 9 = 30 30 + -63X + -15X = 4(8X + 5) + 20X + -3 Combine like terms: -63X + -15X = -78X 30 + -78X = 4(8X + 5) + 20X + -3 Reorder the terms: 30 + -78X = 4(5 + 8X) + 20X + -3 30 + -78X = (5 * 4 + 8X * 4) + 20X + -3 30 + -78X = (20 + 32X) + 20X + -3 Reorder the terms: 30 + -78X = 20 + -3 + 32X + 20X Combine like terms: 20 + -3 = 17 30 + -78X = 17 + 32X + 20X Combine like terms: 32X + 20X = 52X 30 + -78X = 17 + 52X Solving 30 + -78X = 17 + 52X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-52X' to each side of the equation. 30 + -78X + -52X = 17 + 52X + -52X Combine like terms: -78X + -52X = -130X 30 + -130X = 17 + 52X + -52X Combine like terms: 52X + -52X = 0 30 + -130X = 17 + 0 30 + -130X = 17 Add '-30' to each side of the equation. 30 + -30 + -130X = 17 + -30 Combine like terms: 30 + -30 = 0 0 + -130X = 17 + -30 -130X = 17 + -30 Combine like terms: 17 + -30 = -13 -130X = -13 Divide each side by '-130'. X = 0.1 Simplifying X = 0.1
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