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Simplifying 28 = -8(x + 6) + 4(8x + 1) Reorder the terms: 28 = -8(6 + x) + 4(8x + 1) 28 = (6 * -8 + x * -8) + 4(8x + 1) 28 = (-48 + -8x) + 4(8x + 1) Reorder the terms: 28 = -48 + -8x + 4(1 + 8x) 28 = -48 + -8x + (1 * 4 + 8x * 4) 28 = -48 + -8x + (4 + 32x) Reorder the terms: 28 = -48 + 4 + -8x + 32x Combine like terms: -48 + 4 = -44 28 = -44 + -8x + 32x Combine like terms: -8x + 32x = 24x 28 = -44 + 24x Solving 28 = -44 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + -24x = -44 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -24x = -44 + 0 28 + -24x = -44 Add '-28' to each side of the equation. 28 + -28 + -24x = -44 + -28 Combine like terms: 28 + -28 = 0 0 + -24x = -44 + -28 -24x = -44 + -28 Combine like terms: -44 + -28 = -72 -24x = -72 Divide each side by '-24'. x = 3 Simplifying x = 3
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