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Simplifying 3(4X + -6) = -2(-7X + 10) Reorder the terms: 3(-6 + 4X) = -2(-7X + 10) (-6 * 3 + 4X * 3) = -2(-7X + 10) (-18 + 12X) = -2(-7X + 10) Reorder the terms: -18 + 12X = -2(10 + -7X) -18 + 12X = (10 * -2 + -7X * -2) -18 + 12X = (-20 + 14X) Solving -18 + 12X = -20 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. -18 + 12X + -14X = -20 + 14X + -14X Combine like terms: 12X + -14X = -2X -18 + -2X = -20 + 14X + -14X Combine like terms: 14X + -14X = 0 -18 + -2X = -20 + 0 -18 + -2X = -20 Add '18' to each side of the equation. -18 + 18 + -2X = -20 + 18 Combine like terms: -18 + 18 = 0 0 + -2X = -20 + 18 -2X = -20 + 18 Combine like terms: -20 + 18 = -2 -2X = -2 Divide each side by '-2'. X = 1 Simplifying X = 1
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