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Simplifying 8(x + 6) + 7(x + 6) = 6x + -6 Reorder the terms: 8(6 + x) + 7(x + 6) = 6x + -6 (6 * 8 + x * 8) + 7(x + 6) = 6x + -6 (48 + 8x) + 7(x + 6) = 6x + -6 Reorder the terms: 48 + 8x + 7(6 + x) = 6x + -6 48 + 8x + (6 * 7 + x * 7) = 6x + -6 48 + 8x + (42 + 7x) = 6x + -6 Reorder the terms: 48 + 42 + 8x + 7x = 6x + -6 Combine like terms: 48 + 42 = 90 90 + 8x + 7x = 6x + -6 Combine like terms: 8x + 7x = 15x 90 + 15x = 6x + -6 Reorder the terms: 90 + 15x = -6 + 6x Solving 90 + 15x = -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. 90 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 90 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 90 + 9x = -6 + 0 90 + 9x = -6 Add '-90' to each side of the equation. 90 + -90 + 9x = -6 + -90 Combine like terms: 90 + -90 = 0 0 + 9x = -6 + -90 9x = -6 + -90 Combine like terms: -6 + -90 = -96 9x = -96 Divide each side by '9'. x = -10.66666667 Simplifying x = -10.66666667
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