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Simplifying 6x + 2 = 7 + -2(x + 8) Reorder the terms: 2 + 6x = 7 + -2(x + 8) Reorder the terms: 2 + 6x = 7 + -2(8 + x) 2 + 6x = 7 + (8 * -2 + x * -2) 2 + 6x = 7 + (-16 + -2x) Combine like terms: 7 + -16 = -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 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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