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Simplifying 8(x + 4) + 6(x + 4) = 6x + -6 Reorder the terms: 8(4 + x) + 6(x + 4) = 6x + -6 (4 * 8 + x * 8) + 6(x + 4) = 6x + -6 (32 + 8x) + 6(x + 4) = 6x + -6 Reorder the terms: 32 + 8x + 6(4 + x) = 6x + -6 32 + 8x + (4 * 6 + x * 6) = 6x + -6 32 + 8x + (24 + 6x) = 6x + -6 Reorder the terms: 32 + 24 + 8x + 6x = 6x + -6 Combine like terms: 32 + 24 = 56 56 + 8x + 6x = 6x + -6 Combine like terms: 8x + 6x = 14x 56 + 14x = 6x + -6 Reorder the terms: 56 + 14x = -6 + 6x Solving 56 + 14x = -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. 56 + 14x + -6x = -6 + 6x + -6x Combine like terms: 14x + -6x = 8x 56 + 8x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + 8x = -6 + 0 56 + 8x = -6 Add '-56' to each side of the equation. 56 + -56 + 8x = -6 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = -6 + -56 8x = -6 + -56 Combine like terms: -6 + -56 = -62 8x = -62 Divide each side by '8'. x = -7.75 Simplifying x = -7.75
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