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Simplifying 7(x + 4) + 6(x + 4) = 6x + -6 Reorder the terms: 7(4 + x) + 6(x + 4) = 6x + -6 (4 * 7 + x * 7) + 6(x + 4) = 6x + -6 (28 + 7x) + 6(x + 4) = 6x + -6 Reorder the terms: 28 + 7x + 6(4 + x) = 6x + -6 28 + 7x + (4 * 6 + x * 6) = 6x + -6 28 + 7x + (24 + 6x) = 6x + -6 Reorder the terms: 28 + 24 + 7x + 6x = 6x + -6 Combine like terms: 28 + 24 = 52 52 + 7x + 6x = 6x + -6 Combine like terms: 7x + 6x = 13x 52 + 13x = 6x + -6 Reorder the terms: 52 + 13x = -6 + 6x Solving 52 + 13x = -6 + 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. 52 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 52 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + 7x = -6 + 0 52 + 7x = -6 Add '-52' to each side of the equation. 52 + -52 + 7x = -6 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = -6 + -52 7x = -6 + -52 Combine like terms: -6 + -52 = -58 7x = -58 Divide each side by '7'. x = -8.285714286 Simplifying x = -8.285714286
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