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Simplifying 8(x + 5) + 3(x + 5) = 7x + -7 Reorder the terms: 8(5 + x) + 3(x + 5) = 7x + -7 (5 * 8 + x * 8) + 3(x + 5) = 7x + -7 (40 + 8x) + 3(x + 5) = 7x + -7 Reorder the terms: 40 + 8x + 3(5 + x) = 7x + -7 40 + 8x + (5 * 3 + x * 3) = 7x + -7 40 + 8x + (15 + 3x) = 7x + -7 Reorder the terms: 40 + 15 + 8x + 3x = 7x + -7 Combine like terms: 40 + 15 = 55 55 + 8x + 3x = 7x + -7 Combine like terms: 8x + 3x = 11x 55 + 11x = 7x + -7 Reorder the terms: 55 + 11x = -7 + 7x Solving 55 + 11x = -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. 55 + 11x + -7x = -7 + 7x + -7x Combine like terms: 11x + -7x = 4x 55 + 4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 4x = -7 + 0 55 + 4x = -7 Add '-55' to each side of the equation. 55 + -55 + 4x = -7 + -55 Combine like terms: 55 + -55 = 0 0 + 4x = -7 + -55 4x = -7 + -55 Combine like terms: -7 + -55 = -62 4x = -62 Divide each side by '4'. x = -15.5 Simplifying x = -15.5
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