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Simplifying 6(x + 1) + 5 = 13 + -2x + -3 Reorder the terms: 6(1 + x) + 5 = 13 + -2x + -3 (1 * 6 + x * 6) + 5 = 13 + -2x + -3 (6 + 6x) + 5 = 13 + -2x + -3 Reorder the terms: 6 + 5 + 6x = 13 + -2x + -3 Combine like terms: 6 + 5 = 11 11 + 6x = 13 + -2x + -3 Reorder the terms: 11 + 6x = 13 + -3 + -2x Combine like terms: 13 + -3 = 10 11 + 6x = 10 + -2x Solving 11 + 6x = 10 + -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. 11 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x 11 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 8x = 10 + 0 11 + 8x = 10 Add '-11' to each side of the equation. 11 + -11 + 8x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 10 + -11 8x = 10 + -11 Combine like terms: 10 + -11 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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