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