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Simplifying 4(X + 2) = 7(X + -1) + 3 Reorder the terms: 4(2 + X) = 7(X + -1) + 3 (2 * 4 + X * 4) = 7(X + -1) + 3 (8 + 4X) = 7(X + -1) + 3 Reorder the terms: 8 + 4X = 7(-1 + X) + 3 8 + 4X = (-1 * 7 + X * 7) + 3 8 + 4X = (-7 + 7X) + 3 Reorder the terms: 8 + 4X = -7 + 3 + 7X Combine like terms: -7 + 3 = -4 8 + 4X = -4 + 7X Solving 8 + 4X = -4 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 8 + 4X + -7X = -4 + 7X + -7X Combine like terms: 4X + -7X = -3X 8 + -3X = -4 + 7X + -7X Combine like terms: 7X + -7X = 0 8 + -3X = -4 + 0 8 + -3X = -4 Add '-8' to each side of the equation. 8 + -8 + -3X = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3X = -4 + -8 -3X = -4 + -8 Combine like terms: -4 + -8 = -12 -3X = -12 Divide each side by '-3'. X = 4 Simplifying X = 4
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