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Simplifying 4(X + 6) + -3 = 2(X + -4) + 1 Reorder the terms: 4(6 + X) + -3 = 2(X + -4) + 1 (6 * 4 + X * 4) + -3 = 2(X + -4) + 1 (24 + 4X) + -3 = 2(X + -4) + 1 Reorder the terms: 24 + -3 + 4X = 2(X + -4) + 1 Combine like terms: 24 + -3 = 21 21 + 4X = 2(X + -4) + 1 Reorder the terms: 21 + 4X = 2(-4 + X) + 1 21 + 4X = (-4 * 2 + X * 2) + 1 21 + 4X = (-8 + 2X) + 1 Reorder the terms: 21 + 4X = -8 + 1 + 2X Combine like terms: -8 + 1 = -7 21 + 4X = -7 + 2X Solving 21 + 4X = -7 + 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. 21 + 4X + -2X = -7 + 2X + -2X Combine like terms: 4X + -2X = 2X 21 + 2X = -7 + 2X + -2X Combine like terms: 2X + -2X = 0 21 + 2X = -7 + 0 21 + 2X = -7 Add '-21' to each side of the equation. 21 + -21 + 2X = -7 + -21 Combine like terms: 21 + -21 = 0 0 + 2X = -7 + -21 2X = -7 + -21 Combine like terms: -7 + -21 = -28 2X = -28 Divide each side by '2'. X = -14 Simplifying X = -14
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