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Simplifying 2X + 10(3X + -1) = 2X + -2(3X + 20) Reorder the terms: 2X + 10(-1 + 3X) = 2X + -2(3X + 20) 2X + (-1 * 10 + 3X * 10) = 2X + -2(3X + 20) 2X + (-10 + 30X) = 2X + -2(3X + 20) Reorder the terms: -10 + 2X + 30X = 2X + -2(3X + 20) Combine like terms: 2X + 30X = 32X -10 + 32X = 2X + -2(3X + 20) Reorder the terms: -10 + 32X = 2X + -2(20 + 3X) -10 + 32X = 2X + (20 * -2 + 3X * -2) -10 + 32X = 2X + (-40 + -6X) Reorder the terms: -10 + 32X = -40 + 2X + -6X Combine like terms: 2X + -6X = -4X -10 + 32X = -40 + -4X Solving -10 + 32X = -40 + -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. -10 + 32X + 4X = -40 + -4X + 4X Combine like terms: 32X + 4X = 36X -10 + 36X = -40 + -4X + 4X Combine like terms: -4X + 4X = 0 -10 + 36X = -40 + 0 -10 + 36X = -40 Add '10' to each side of the equation. -10 + 10 + 36X = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 36X = -40 + 10 36X = -40 + 10 Combine like terms: -40 + 10 = -30 36X = -30 Divide each side by '36'. X = -0.8333333333 Simplifying X = -0.8333333333
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