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Simplifying 4(X + -3) + 52 = -4X Reorder the terms: 4(-3 + X) + 52 = -4X (-3 * 4 + X * 4) + 52 = -4X (-12 + 4X) + 52 = -4X Reorder the terms: -12 + 52 + 4X = -4X Combine like terms: -12 + 52 = 40 40 + 4X = -4X Solving 40 + 4X = -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. 40 + 4X + 4X = -4X + 4X Combine like terms: 4X + 4X = 8X 40 + 8X = -4X + 4X Combine like terms: -4X + 4X = 0 40 + 8X = 0 Add '-40' to each side of the equation. 40 + -40 + 8X = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8X = 0 + -40 8X = 0 + -40 Combine like terms: 0 + -40 = -40 8X = -40 Divide each side by '8'. X = -5 Simplifying X = -5
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