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Simplifying 5(x + 1) + 3 = -6(x + -11) + -4 Reorder the terms: 5(1 + x) + 3 = -6(x + -11) + -4 (1 * 5 + x * 5) + 3 = -6(x + -11) + -4 (5 + 5x) + 3 = -6(x + -11) + -4 Reorder the terms: 5 + 3 + 5x = -6(x + -11) + -4 Combine like terms: 5 + 3 = 8 8 + 5x = -6(x + -11) + -4 Reorder the terms: 8 + 5x = -6(-11 + x) + -4 8 + 5x = (-11 * -6 + x * -6) + -4 8 + 5x = (66 + -6x) + -4 Reorder the terms: 8 + 5x = 66 + -4 + -6x Combine like terms: 66 + -4 = 62 8 + 5x = 62 + -6x Solving 8 + 5x = 62 + -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. 8 + 5x + 6x = 62 + -6x + 6x Combine like terms: 5x + 6x = 11x 8 + 11x = 62 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 11x = 62 + 0 8 + 11x = 62 Add '-8' to each side of the equation. 8 + -8 + 11x = 62 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 62 + -8 11x = 62 + -8 Combine like terms: 62 + -8 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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