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Simplifying 7(4X + -3) + -9 = 6(5 + -2X) Reorder the terms: 7(-3 + 4X) + -9 = 6(5 + -2X) (-3 * 7 + 4X * 7) + -9 = 6(5 + -2X) (-21 + 28X) + -9 = 6(5 + -2X) Reorder the terms: -21 + -9 + 28X = 6(5 + -2X) Combine like terms: -21 + -9 = -30 -30 + 28X = 6(5 + -2X) -30 + 28X = (5 * 6 + -2X * 6) -30 + 28X = (30 + -12X) Solving -30 + 28X = 30 + -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. -30 + 28X + 12X = 30 + -12X + 12X Combine like terms: 28X + 12X = 40X -30 + 40X = 30 + -12X + 12X Combine like terms: -12X + 12X = 0 -30 + 40X = 30 + 0 -30 + 40X = 30 Add '30' to each side of the equation. -30 + 30 + 40X = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 40X = 30 + 30 40X = 30 + 30 Combine like terms: 30 + 30 = 60 40X = 60 Divide each side by '40'. X = 1.5 Simplifying X = 1.5
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