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Simplifying 2(x + 4) + 1 = -6x + 7 Reorder the terms: 2(4 + x) + 1 = -6x + 7 (4 * 2 + x * 2) + 1 = -6x + 7 (8 + 2x) + 1 = -6x + 7 Reorder the terms: 8 + 1 + 2x = -6x + 7 Combine like terms: 8 + 1 = 9 9 + 2x = -6x + 7 Reorder the terms: 9 + 2x = 7 + -6x Solving 9 + 2x = 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. 9 + 2x + 6x = 7 + -6x + 6x Combine like terms: 2x + 6x = 8x 9 + 8x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 8x = 7 + 0 9 + 8x = 7 Add '-9' to each side of the equation. 9 + -9 + 8x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 7 + -9 8x = 7 + -9 Combine like terms: 7 + -9 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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