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Simplifying 4(x + 6) + 8(x + 6) = x + -5 Reorder the terms: 4(6 + x) + 8(x + 6) = x + -5 (6 * 4 + x * 4) + 8(x + 6) = x + -5 (24 + 4x) + 8(x + 6) = x + -5 Reorder the terms: 24 + 4x + 8(6 + x) = x + -5 24 + 4x + (6 * 8 + x * 8) = x + -5 24 + 4x + (48 + 8x) = x + -5 Reorder the terms: 24 + 48 + 4x + 8x = x + -5 Combine like terms: 24 + 48 = 72 72 + 4x + 8x = x + -5 Combine like terms: 4x + 8x = 12x 72 + 12x = x + -5 Reorder the terms: 72 + 12x = -5 + x Solving 72 + 12x = -5 + 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. 72 + 12x + -1x = -5 + x + -1x Combine like terms: 12x + -1x = 11x 72 + 11x = -5 + x + -1x Combine like terms: x + -1x = 0 72 + 11x = -5 + 0 72 + 11x = -5 Add '-72' to each side of the equation. 72 + -72 + 11x = -5 + -72 Combine like terms: 72 + -72 = 0 0 + 11x = -5 + -72 11x = -5 + -72 Combine like terms: -5 + -72 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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