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Simplifying 8(x + 5) + 3(x + 5) = x + -6 Reorder the terms: 8(5 + x) + 3(x + 5) = x + -6 (5 * 8 + x * 8) + 3(x + 5) = x + -6 (40 + 8x) + 3(x + 5) = x + -6 Reorder the terms: 40 + 8x + 3(5 + x) = x + -6 40 + 8x + (5 * 3 + x * 3) = x + -6 40 + 8x + (15 + 3x) = x + -6 Reorder the terms: 40 + 15 + 8x + 3x = x + -6 Combine like terms: 40 + 15 = 55 55 + 8x + 3x = x + -6 Combine like terms: 8x + 3x = 11x 55 + 11x = x + -6 Reorder the terms: 55 + 11x = -6 + x Solving 55 + 11x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 55 + 11x + -1x = -6 + x + -1x Combine like terms: 11x + -1x = 10x 55 + 10x = -6 + x + -1x Combine like terms: x + -1x = 0 55 + 10x = -6 + 0 55 + 10x = -6 Add '-55' to each side of the equation. 55 + -55 + 10x = -6 + -55 Combine like terms: 55 + -55 = 0 0 + 10x = -6 + -55 10x = -6 + -55 Combine like terms: -6 + -55 = -61 10x = -61 Divide each side by '10'. x = -6.1 Simplifying x = -6.1
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