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Simplifying 4(x + 7) + -2 = 7(x + 4) + -14 Reorder the terms: 4(7 + x) + -2 = 7(x + 4) + -14 (7 * 4 + x * 4) + -2 = 7(x + 4) + -14 (28 + 4x) + -2 = 7(x + 4) + -14 Reorder the terms: 28 + -2 + 4x = 7(x + 4) + -14 Combine like terms: 28 + -2 = 26 26 + 4x = 7(x + 4) + -14 Reorder the terms: 26 + 4x = 7(4 + x) + -14 26 + 4x = (4 * 7 + x * 7) + -14 26 + 4x = (28 + 7x) + -14 Reorder the terms: 26 + 4x = 28 + -14 + 7x Combine like terms: 28 + -14 = 14 26 + 4x = 14 + 7x Solving 26 + 4x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 26 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 26 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -3x = 14 + 0 26 + -3x = 14 Add '-26' to each side of the equation. 26 + -26 + -3x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 14 + -26 -3x = 14 + -26 Combine like terms: 14 + -26 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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