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Simplifying 4(x + 7) + -7x + 2 = 0 Reorder the terms: 4(7 + x) + -7x + 2 = 0 (7 * 4 + x * 4) + -7x + 2 = 0 (28 + 4x) + -7x + 2 = 0 Reorder the terms: 28 + 2 + 4x + -7x = 0 Combine like terms: 28 + 2 = 30 30 + 4x + -7x = 0 Combine like terms: 4x + -7x = -3x 30 + -3x = 0 Solving 30 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -3x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 0 + -30 -3x = 0 + -30 Combine like terms: 0 + -30 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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