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Simplifying x + -3(X + -5) = 3 + -1(4X + 6) Reorder the terms: x + -3(-5 + X) = 3 + -1(4X + 6) x + (-5 * -3 + X * -3) = 3 + -1(4X + 6) x + (15 + -3X) = 3 + -1(4X + 6) Reorder the terms: 15 + -3X + x = 3 + -1(4X + 6) Reorder the terms: 15 + -3X + x = 3 + -1(6 + 4X) 15 + -3X + x = 3 + (6 * -1 + 4X * -1) 15 + -3X + x = 3 + (-6 + -4X) Combine like terms: 3 + -6 = -3 15 + -3X + x = -3 + -4X Solving 15 + -3X + x = -3 + -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. 15 + -3X + 4X + x = -3 + -4X + 4X Combine like terms: -3X + 4X = 1X 15 + 1X + x = -3 + -4X + 4X Combine like terms: -4X + 4X = 0 15 + 1X + x = -3 + 0 15 + 1X + x = -3 Add '-15' to each side of the equation. 15 + 1X + -15 + x = -3 + -15 Reorder the terms: 15 + -15 + 1X + x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 1X + x = -3 + -15 1X + x = -3 + -15 Combine like terms: -3 + -15 = -18 1X + x = -18 Add '-1x' to each side of the equation. 1X + x + -1x = -18 + -1x Combine like terms: x + -1x = 0 1X + 0 = -18 + -1x 1X = -18 + -1x Divide each side by '1'. X = -18 + -1x Simplifying X = -18 + -1x
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