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Simplifying 3(7X + -4) = 6X + 2(4X + -6) Reorder the terms: 3(-4 + 7X) = 6X + 2(4X + -6) (-4 * 3 + 7X * 3) = 6X + 2(4X + -6) (-12 + 21X) = 6X + 2(4X + -6) Reorder the terms: -12 + 21X = 6X + 2(-6 + 4X) -12 + 21X = 6X + (-6 * 2 + 4X * 2) -12 + 21X = 6X + (-12 + 8X) Reorder the terms: -12 + 21X = -12 + 6X + 8X Combine like terms: 6X + 8X = 14X -12 + 21X = -12 + 14X Add '12' to each side of the equation. -12 + 12 + 21X = -12 + 12 + 14X Combine like terms: -12 + 12 = 0 0 + 21X = -12 + 12 + 14X 21X = -12 + 12 + 14X Combine like terms: -12 + 12 = 0 21X = 0 + 14X 21X = 14X Solving 21X = 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. 21X + -14X = 14X + -14X Combine like terms: 21X + -14X = 7X 7X = 14X + -14X Combine like terms: 14X + -14X = 0 7X = 0 Divide each side by '7'. X = 0 Simplifying X = 0
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