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Simplifying -7(X + 3) = -2(Z + 3) + -5X Reorder the terms: -7(3 + X) = -2(Z + 3) + -5X (3 * -7 + X * -7) = -2(Z + 3) + -5X (-21 + -7X) = -2(Z + 3) + -5X Reorder the terms: -21 + -7X = -2(3 + Z) + -5X -21 + -7X = (3 * -2 + Z * -2) + -5X -21 + -7X = (-6 + -2Z) + -5X Reorder the terms: -21 + -7X = -6 + -5X + -2Z Solving -21 + -7X = -6 + -5X + -2Z Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. -21 + -7X + 5X = -6 + -5X + 5X + -2Z Combine like terms: -7X + 5X = -2X -21 + -2X = -6 + -5X + 5X + -2Z Combine like terms: -5X + 5X = 0 -21 + -2X = -6 + 0 + -2Z -21 + -2X = -6 + -2Z Add '21' to each side of the equation. -21 + 21 + -2X = -6 + 21 + -2Z Combine like terms: -21 + 21 = 0 0 + -2X = -6 + 21 + -2Z -2X = -6 + 21 + -2Z Combine like terms: -6 + 21 = 15 -2X = 15 + -2Z Divide each side by '-2'. X = -7.5 + Z Simplifying X = -7.5 + Z
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