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Simplifying 6x + 2 = 4 + -1(2x + -5) Reorder the terms: 2 + 6x = 4 + -1(2x + -5) Reorder the terms: 2 + 6x = 4 + -1(-5 + 2x) 2 + 6x = 4 + (-5 * -1 + 2x * -1) 2 + 6x = 4 + (5 + -2x) Combine like terms: 4 + 5 = 9 2 + 6x = 9 + -2x Solving 2 + 6x = 9 + -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. 2 + 6x + 2x = 9 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 9 + 0 2 + 8x = 9 Add '-2' to each side of the equation. 2 + -2 + 8x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 9 + -2 8x = 9 + -2 Combine like terms: 9 + -2 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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