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Simplifying 4x + 6 = 5 + -1(2x + -6) Reorder the terms: 6 + 4x = 5 + -1(2x + -6) Reorder the terms: 6 + 4x = 5 + -1(-6 + 2x) 6 + 4x = 5 + (-6 * -1 + 2x * -1) 6 + 4x = 5 + (6 + -2x) Combine like terms: 5 + 6 = 11 6 + 4x = 11 + -2x Solving 6 + 4x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 4x + 2x = 11 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = 11 + 0 6 + 6x = 11 Add '-6' to each side of the equation. 6 + -6 + 6x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 11 + -6 6x = 11 + -6 Combine like terms: 11 + -6 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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