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Simplifying 4(x + 5) + 6 = 8 + 7(x + -5) Reorder the terms: 4(5 + x) + 6 = 8 + 7(x + -5) (5 * 4 + x * 4) + 6 = 8 + 7(x + -5) (20 + 4x) + 6 = 8 + 7(x + -5) Reorder the terms: 20 + 6 + 4x = 8 + 7(x + -5) Combine like terms: 20 + 6 = 26 26 + 4x = 8 + 7(x + -5) Reorder the terms: 26 + 4x = 8 + 7(-5 + x) 26 + 4x = 8 + (-5 * 7 + x * 7) 26 + 4x = 8 + (-35 + 7x) Combine like terms: 8 + -35 = -27 26 + 4x = -27 + 7x Solving 26 + 4x = -27 + 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 = -27 + 7x + -7x Combine like terms: 4x + -7x = -3x 26 + -3x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -3x = -27 + 0 26 + -3x = -27 Add '-26' to each side of the equation. 26 + -26 + -3x = -27 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = -27 + -26 -3x = -27 + -26 Combine like terms: -27 + -26 = -53 -3x = -53 Divide each side by '-3'. x = 17.66666667 Simplifying x = 17.66666667
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