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Simplifying 7(x + 4) + -2x = 10 + 3x Reorder the terms: 7(4 + x) + -2x = 10 + 3x (4 * 7 + x * 7) + -2x = 10 + 3x (28 + 7x) + -2x = 10 + 3x Combine like terms: 7x + -2x = 5x 28 + 5x = 10 + 3x Solving 28 + 5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x 28 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 2x = 10 + 0 28 + 2x = 10 Add '-28' to each side of the equation. 28 + -28 + 2x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 10 + -28 2x = 10 + -28 Combine like terms: 10 + -28 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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