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Simplifying 6 + 4(x + 8) = -8x + 5 + x Reorder the terms: 6 + 4(8 + x) = -8x + 5 + x 6 + (8 * 4 + x * 4) = -8x + 5 + x 6 + (32 + 4x) = -8x + 5 + x Combine like terms: 6 + 32 = 38 38 + 4x = -8x + 5 + x Reorder the terms: 38 + 4x = 5 + -8x + x Combine like terms: -8x + x = -7x 38 + 4x = 5 + -7x Solving 38 + 4x = 5 + -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. 38 + 4x + 7x = 5 + -7x + 7x Combine like terms: 4x + 7x = 11x 38 + 11x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 38 + 11x = 5 + 0 38 + 11x = 5 Add '-38' to each side of the equation. 38 + -38 + 11x = 5 + -38 Combine like terms: 38 + -38 = 0 0 + 11x = 5 + -38 11x = 5 + -38 Combine like terms: 5 + -38 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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