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Simplifying 8(x + 4) + 4(x + 4) = 6x + -6 Reorder the terms: 8(4 + x) + 4(x + 4) = 6x + -6 (4 * 8 + x * 8) + 4(x + 4) = 6x + -6 (32 + 8x) + 4(x + 4) = 6x + -6 Reorder the terms: 32 + 8x + 4(4 + x) = 6x + -6 32 + 8x + (4 * 4 + x * 4) = 6x + -6 32 + 8x + (16 + 4x) = 6x + -6 Reorder the terms: 32 + 16 + 8x + 4x = 6x + -6 Combine like terms: 32 + 16 = 48 48 + 8x + 4x = 6x + -6 Combine like terms: 8x + 4x = 12x 48 + 12x = 6x + -6 Reorder the terms: 48 + 12x = -6 + 6x Solving 48 + 12x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 48 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 6x = -6 + 0 48 + 6x = -6 Add '-48' to each side of the equation. 48 + -48 + 6x = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = -6 + -48 6x = -6 + -48 Combine like terms: -6 + -48 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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