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Simplifying 5 + 3(5X + -6) = 5 + -4(2X + 1) Reorder the terms: 5 + 3(-6 + 5X) = 5 + -4(2X + 1) 5 + (-6 * 3 + 5X * 3) = 5 + -4(2X + 1) 5 + (-18 + 15X) = 5 + -4(2X + 1) Combine like terms: 5 + -18 = -13 -13 + 15X = 5 + -4(2X + 1) Reorder the terms: -13 + 15X = 5 + -4(1 + 2X) -13 + 15X = 5 + (1 * -4 + 2X * -4) -13 + 15X = 5 + (-4 + -8X) Combine like terms: 5 + -4 = 1 -13 + 15X = 1 + -8X Solving -13 + 15X = 1 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. -13 + 15X + 8X = 1 + -8X + 8X Combine like terms: 15X + 8X = 23X -13 + 23X = 1 + -8X + 8X Combine like terms: -8X + 8X = 0 -13 + 23X = 1 + 0 -13 + 23X = 1 Add '13' to each side of the equation. -13 + 13 + 23X = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 23X = 1 + 13 23X = 1 + 13 Combine like terms: 1 + 13 = 14 23X = 14 Divide each side by '23'. X = 0.6086956522 Simplifying X = 0.6086956522
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