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Simplifying 4(7X + -1) + 3(2X + -5) + -4(3X + 5) = -6 Reorder the terms: 4(-1 + 7X) + 3(2X + -5) + -4(3X + 5) = -6 (-1 * 4 + 7X * 4) + 3(2X + -5) + -4(3X + 5) = -6 (-4 + 28X) + 3(2X + -5) + -4(3X + 5) = -6 Reorder the terms: -4 + 28X + 3(-5 + 2X) + -4(3X + 5) = -6 -4 + 28X + (-5 * 3 + 2X * 3) + -4(3X + 5) = -6 -4 + 28X + (-15 + 6X) + -4(3X + 5) = -6 Reorder the terms: -4 + 28X + -15 + 6X + -4(5 + 3X) = -6 -4 + 28X + -15 + 6X + (5 * -4 + 3X * -4) = -6 -4 + 28X + -15 + 6X + (-20 + -12X) = -6 Reorder the terms: -4 + -15 + -20 + 28X + 6X + -12X = -6 Combine like terms: -4 + -15 = -19 -19 + -20 + 28X + 6X + -12X = -6 Combine like terms: -19 + -20 = -39 -39 + 28X + 6X + -12X = -6 Combine like terms: 28X + 6X = 34X -39 + 34X + -12X = -6 Combine like terms: 34X + -12X = 22X -39 + 22X = -6 Solving -39 + 22X = -6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 22X = -6 + 39 Combine like terms: -39 + 39 = 0 0 + 22X = -6 + 39 22X = -6 + 39 Combine like terms: -6 + 39 = 33 22X = 33 Divide each side by '22'. X = 1.5 Simplifying X = 1.5
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