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Simplifying 3[X + -5] = 4X + -2[X + 7] Reorder the terms: 3[-5 + X] = 4X + -2[X + 7] [-5 * 3 + X * 3] = 4X + -2[X + 7] [-15 + 3X] = 4X + -2[X + 7] Reorder the terms: -15 + 3X = 4X + -2[7 + X] -15 + 3X = 4X + [7 * -2 + X * -2] -15 + 3X = 4X + [-14 + -2X] Reorder the terms: -15 + 3X = -14 + 4X + -2X Combine like terms: 4X + -2X = 2X -15 + 3X = -14 + 2X Solving -15 + 3X = -14 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -15 + 3X + -2X = -14 + 2X + -2X Combine like terms: 3X + -2X = 1X -15 + 1X = -14 + 2X + -2X Combine like terms: 2X + -2X = 0 -15 + 1X = -14 + 0 -15 + 1X = -14 Add '15' to each side of the equation. -15 + 15 + 1X = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 1X = -14 + 15 1X = -14 + 15 Combine like terms: -14 + 15 = 1 1X = 1 Divide each side by '1'. X = 1 Simplifying X = 1
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