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Simplifying 8(x + 4) + -4 = 2(2x + 3) + -14 Reorder the terms: 8(4 + x) + -4 = 2(2x + 3) + -14 (4 * 8 + x * 8) + -4 = 2(2x + 3) + -14 (32 + 8x) + -4 = 2(2x + 3) + -14 Reorder the terms: 32 + -4 + 8x = 2(2x + 3) + -14 Combine like terms: 32 + -4 = 28 28 + 8x = 2(2x + 3) + -14 Reorder the terms: 28 + 8x = 2(3 + 2x) + -14 28 + 8x = (3 * 2 + 2x * 2) + -14 28 + 8x = (6 + 4x) + -14 Reorder the terms: 28 + 8x = 6 + -14 + 4x Combine like terms: 6 + -14 = -8 28 + 8x = -8 + 4x Solving 28 + 8x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x 28 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 4x = -8 + 0 28 + 4x = -8 Add '-28' to each side of the equation. 28 + -28 + 4x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = -8 + -28 4x = -8 + -28 Combine like terms: -8 + -28 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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