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Simplifying 1.375(24x + 8) = 0.6875(32x + -12) + 4 Reorder the terms: 1.375(8 + 24x) = 0.6875(32x + -12) + 4 (8 * 1.375 + 24x * 1.375) = 0.6875(32x + -12) + 4 (11 + 33x) = 0.6875(32x + -12) + 4 Reorder the terms: 11 + 33x = 0.6875(-12 + 32x) + 4 11 + 33x = (-12 * 0.6875 + 32x * 0.6875) + 4 11 + 33x = (-8.25 + 22x) + 4 Reorder the terms: 11 + 33x = -8.25 + 4 + 22x Combine like terms: -8.25 + 4 = -4.25 11 + 33x = -4.25 + 22x Solving 11 + 33x = -4.25 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 11 + 33x + -22x = -4.25 + 22x + -22x Combine like terms: 33x + -22x = 11x 11 + 11x = -4.25 + 22x + -22x Combine like terms: 22x + -22x = 0 11 + 11x = -4.25 + 0 11 + 11x = -4.25 Add '-11' to each side of the equation. 11 + -11 + 11x = -4.25 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = -4.25 + -11 11x = -4.25 + -11 Combine like terms: -4.25 + -11 = -15.25 11x = -15.25 Divide each side by '11'. x = -1.386363636 Simplifying x = -1.386363636
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