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Simplifying 5x + 10 = -2x + 7(X + 2) + -4 Reorder the terms: 10 + 5x = -2x + 7(X + 2) + -4 Reorder the terms: 10 + 5x = -2x + 7(2 + X) + -4 10 + 5x = -2x + (2 * 7 + X * 7) + -4 10 + 5x = -2x + (14 + 7X) + -4 Reorder the terms: 10 + 5x = 14 + -4 + 7X + -2x Combine like terms: 14 + -4 = 10 10 + 5x = 10 + 7X + -2x Add '-10' to each side of the equation. 10 + -10 + 5x = 10 + 7X + -10 + -2x Combine like terms: 10 + -10 = 0 0 + 5x = 10 + 7X + -10 + -2x 5x = 10 + 7X + -10 + -2x Reorder the terms: 5x = 10 + -10 + 7X + -2x Combine like terms: 10 + -10 = 0 5x = 0 + 7X + -2x 5x = 7X + -2x Solving 5x = 7X + -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. 5x + 2x = 7X + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 7X + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 7X + 0 7x = 7X Divide each side by '7'. x = X Simplifying x = X
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