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Simplifying 4x + 3 = 6 + -1(2x + -8) Reorder the terms: 3 + 4x = 6 + -1(2x + -8) Reorder the terms: 3 + 4x = 6 + -1(-8 + 2x) 3 + 4x = 6 + (-8 * -1 + 2x * -1) 3 + 4x = 6 + (8 + -2x) Combine like terms: 6 + 8 = 14 3 + 4x = 14 + -2x Solving 3 + 4x = 14 + -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. 3 + 4x + 2x = 14 + -2x + 2x Combine like terms: 4x + 2x = 6x 3 + 6x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 6x = 14 + 0 3 + 6x = 14 Add '-3' to each side of the equation. 3 + -3 + 6x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 14 + -3 6x = 14 + -3 Combine like terms: 14 + -3 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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