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Simplifying 7(x + 6) + 8(x + 6) = 7x + -7 Reorder the terms: 7(6 + x) + 8(x + 6) = 7x + -7 (6 * 7 + x * 7) + 8(x + 6) = 7x + -7 (42 + 7x) + 8(x + 6) = 7x + -7 Reorder the terms: 42 + 7x + 8(6 + x) = 7x + -7 42 + 7x + (6 * 8 + x * 8) = 7x + -7 42 + 7x + (48 + 8x) = 7x + -7 Reorder the terms: 42 + 48 + 7x + 8x = 7x + -7 Combine like terms: 42 + 48 = 90 90 + 7x + 8x = 7x + -7 Combine like terms: 7x + 8x = 15x 90 + 15x = 7x + -7 Reorder the terms: 90 + 15x = -7 + 7x Solving 90 + 15x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 90 + 15x + -7x = -7 + 7x + -7x Combine like terms: 15x + -7x = 8x 90 + 8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 90 + 8x = -7 + 0 90 + 8x = -7 Add '-90' to each side of the equation. 90 + -90 + 8x = -7 + -90 Combine like terms: 90 + -90 = 0 0 + 8x = -7 + -90 8x = -7 + -90 Combine like terms: -7 + -90 = -97 8x = -97 Divide each side by '8'. x = -12.125 Simplifying x = -12.125
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