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Simplifying 5(3X + -2) + -3(7X + -2) = 4(5 + -1X) Reorder the terms: 5(-2 + 3X) + -3(7X + -2) = 4(5 + -1X) (-2 * 5 + 3X * 5) + -3(7X + -2) = 4(5 + -1X) (-10 + 15X) + -3(7X + -2) = 4(5 + -1X) Reorder the terms: -10 + 15X + -3(-2 + 7X) = 4(5 + -1X) -10 + 15X + (-2 * -3 + 7X * -3) = 4(5 + -1X) -10 + 15X + (6 + -21X) = 4(5 + -1X) Reorder the terms: -10 + 6 + 15X + -21X = 4(5 + -1X) Combine like terms: -10 + 6 = -4 -4 + 15X + -21X = 4(5 + -1X) Combine like terms: 15X + -21X = -6X -4 + -6X = 4(5 + -1X) -4 + -6X = (5 * 4 + -1X * 4) -4 + -6X = (20 + -4X) Solving -4 + -6X = 20 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -4 + -6X + 4X = 20 + -4X + 4X Combine like terms: -6X + 4X = -2X -4 + -2X = 20 + -4X + 4X Combine like terms: -4X + 4X = 0 -4 + -2X = 20 + 0 -4 + -2X = 20 Add '4' to each side of the equation. -4 + 4 + -2X = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -2X = 20 + 4 -2X = 20 + 4 Combine like terms: 20 + 4 = 24 -2X = 24 Divide each side by '-2'. X = -12 Simplifying X = -12
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