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Simplifying 21.882 + 4.9x = 4.2(1.8x + 3.69) Reorder the terms: 21.882 + 4.9x = 4.2(3.69 + 1.8x) 21.882 + 4.9x = (3.69 * 4.2 + 1.8x * 4.2) 21.882 + 4.9x = (15.498 + 7.56x) Solving 21.882 + 4.9x = 15.498 + 7.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.56x' to each side of the equation. 21.882 + 4.9x + -7.56x = 15.498 + 7.56x + -7.56x Combine like terms: 4.9x + -7.56x = -2.66x 21.882 + -2.66x = 15.498 + 7.56x + -7.56x Combine like terms: 7.56x + -7.56x = 0.00 21.882 + -2.66x = 15.498 + 0.00 21.882 + -2.66x = 15.498 Add '-21.882' to each side of the equation. 21.882 + -21.882 + -2.66x = 15.498 + -21.882 Combine like terms: 21.882 + -21.882 = 0.000 0.000 + -2.66x = 15.498 + -21.882 -2.66x = 15.498 + -21.882 Combine like terms: 15.498 + -21.882 = -6.384 -2.66x = -6.384 Divide each side by '-2.66'. x = 2.4 Simplifying x = 2.4
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