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Simplifying 6(3X + -1) = 5(4X + 3) Reorder the terms: 6(-1 + 3X) = 5(4X + 3) (-1 * 6 + 3X * 6) = 5(4X + 3) (-6 + 18X) = 5(4X + 3) Reorder the terms: -6 + 18X = 5(3 + 4X) -6 + 18X = (3 * 5 + 4X * 5) -6 + 18X = (15 + 20X) Solving -6 + 18X = 15 + 20X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20X' to each side of the equation. -6 + 18X + -20X = 15 + 20X + -20X Combine like terms: 18X + -20X = -2X -6 + -2X = 15 + 20X + -20X Combine like terms: 20X + -20X = 0 -6 + -2X = 15 + 0 -6 + -2X = 15 Add '6' to each side of the equation. -6 + 6 + -2X = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -2X = 15 + 6 -2X = 15 + 6 Combine like terms: 15 + 6 = 21 -2X = 21 Divide each side by '-2'. X = -10.5 Simplifying X = -10.5
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