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Simplifying -3(2X + 5) + -5(2X) = 3X + 2(7X + -5) + 1 Reorder the terms: -3(5 + 2X) + -5(2X) = 3X + 2(7X + -5) + 1 (5 * -3 + 2X * -3) + -5(2X) = 3X + 2(7X + -5) + 1 (-15 + -6X) + -5(2X) = 3X + 2(7X + -5) + 1 Remove parenthesis around (2X) -15 + -6X + -5 * 2X = 3X + 2(7X + -5) + 1 Multiply -5 * 2 -15 + -6X + -10X = 3X + 2(7X + -5) + 1 Combine like terms: -6X + -10X = -16X -15 + -16X = 3X + 2(7X + -5) + 1 Reorder the terms: -15 + -16X = 3X + 2(-5 + 7X) + 1 -15 + -16X = 3X + (-5 * 2 + 7X * 2) + 1 -15 + -16X = 3X + (-10 + 14X) + 1 Reorder the terms: -15 + -16X = -10 + 1 + 3X + 14X Combine like terms: -10 + 1 = -9 -15 + -16X = -9 + 3X + 14X Combine like terms: 3X + 14X = 17X -15 + -16X = -9 + 17X Solving -15 + -16X = -9 + 17X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17X' to each side of the equation. -15 + -16X + -17X = -9 + 17X + -17X Combine like terms: -16X + -17X = -33X -15 + -33X = -9 + 17X + -17X Combine like terms: 17X + -17X = 0 -15 + -33X = -9 + 0 -15 + -33X = -9 Add '15' to each side of the equation. -15 + 15 + -33X = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -33X = -9 + 15 -33X = -9 + 15 Combine like terms: -9 + 15 = 6 -33X = 6 Divide each side by '-33'. X = -0.1818181818 Simplifying X = -0.1818181818
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