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Simplifying 8x + 4 = 5 + -1(6x + -2) Reorder the terms: 4 + 8x = 5 + -1(6x + -2) Reorder the terms: 4 + 8x = 5 + -1(-2 + 6x) 4 + 8x = 5 + (-2 * -1 + 6x * -1) 4 + 8x = 5 + (2 + -6x) Combine like terms: 5 + 2 = 7 4 + 8x = 7 + -6x Solving 4 + 8x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 8x + 6x = 7 + -6x + 6x Combine like terms: 8x + 6x = 14x 4 + 14x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 14x = 7 + 0 4 + 14x = 7 Add '-4' to each side of the equation. 4 + -4 + 14x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 7 + -4 14x = 7 + -4 Combine like terms: 7 + -4 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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