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Simplifying 2(x + 5) = 6(4x + 5) + -1(x + 5) Reorder the terms: 2(5 + x) = 6(4x + 5) + -1(x + 5) (5 * 2 + x * 2) = 6(4x + 5) + -1(x + 5) (10 + 2x) = 6(4x + 5) + -1(x + 5) Reorder the terms: 10 + 2x = 6(5 + 4x) + -1(x + 5) 10 + 2x = (5 * 6 + 4x * 6) + -1(x + 5) 10 + 2x = (30 + 24x) + -1(x + 5) Reorder the terms: 10 + 2x = 30 + 24x + -1(5 + x) 10 + 2x = 30 + 24x + (5 * -1 + x * -1) 10 + 2x = 30 + 24x + (-5 + -1x) Reorder the terms: 10 + 2x = 30 + -5 + 24x + -1x Combine like terms: 30 + -5 = 25 10 + 2x = 25 + 24x + -1x Combine like terms: 24x + -1x = 23x 10 + 2x = 25 + 23x Solving 10 + 2x = 25 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 10 + 2x + -23x = 25 + 23x + -23x Combine like terms: 2x + -23x = -21x 10 + -21x = 25 + 23x + -23x Combine like terms: 23x + -23x = 0 10 + -21x = 25 + 0 10 + -21x = 25 Add '-10' to each side of the equation. 10 + -10 + -21x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -21x = 25 + -10 -21x = 25 + -10 Combine like terms: 25 + -10 = 15 -21x = 15 Divide each side by '-21'. x = -0.7142857143 Simplifying x = -0.7142857143
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