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Simplifying 7(x + 7) + 4 = -6(x + -6) + -1 Reorder the terms: 7(7 + x) + 4 = -6(x + -6) + -1 (7 * 7 + x * 7) + 4 = -6(x + -6) + -1 (49 + 7x) + 4 = -6(x + -6) + -1 Reorder the terms: 49 + 4 + 7x = -6(x + -6) + -1 Combine like terms: 49 + 4 = 53 53 + 7x = -6(x + -6) + -1 Reorder the terms: 53 + 7x = -6(-6 + x) + -1 53 + 7x = (-6 * -6 + x * -6) + -1 53 + 7x = (36 + -6x) + -1 Reorder the terms: 53 + 7x = 36 + -1 + -6x Combine like terms: 36 + -1 = 35 53 + 7x = 35 + -6x Solving 53 + 7x = 35 + -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. 53 + 7x + 6x = 35 + -6x + 6x Combine like terms: 7x + 6x = 13x 53 + 13x = 35 + -6x + 6x Combine like terms: -6x + 6x = 0 53 + 13x = 35 + 0 53 + 13x = 35 Add '-53' to each side of the equation. 53 + -53 + 13x = 35 + -53 Combine like terms: 53 + -53 = 0 0 + 13x = 35 + -53 13x = 35 + -53 Combine like terms: 35 + -53 = -18 13x = -18 Divide each side by '13'. x = -1.384615385 Simplifying x = -1.384615385
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