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Simplifying 8(x + 1) + -3 = 6x + 1 Reorder the terms: 8(1 + x) + -3 = 6x + 1 (1 * 8 + x * 8) + -3 = 6x + 1 (8 + 8x) + -3 = 6x + 1 Reorder the terms: 8 + -3 + 8x = 6x + 1 Combine like terms: 8 + -3 = 5 5 + 8x = 6x + 1 Reorder the terms: 5 + 8x = 1 + 6x Solving 5 + 8x = 1 + 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. 5 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x 5 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 2x = 1 + 0 5 + 2x = 1 Add '-5' to each side of the equation. 5 + -5 + 2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 1 + -5 2x = 1 + -5 Combine like terms: 1 + -5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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