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Simplifying 38(27 + -4.5x) = 14(4x + -8) + 25.7 (27 * 38 + -4.5x * 38) = 14(4x + -8) + 25.7 (1026 + -171x) = 14(4x + -8) + 25.7 Reorder the terms: 1026 + -171x = 14(-8 + 4x) + 25.7 1026 + -171x = (-8 * 14 + 4x * 14) + 25.7 1026 + -171x = (-112 + 56x) + 25.7 Reorder the terms: 1026 + -171x = -112 + 25.7 + 56x Combine like terms: -112 + 25.7 = -86.3 1026 + -171x = -86.3 + 56x Solving 1026 + -171x = -86.3 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 1026 + -171x + -56x = -86.3 + 56x + -56x Combine like terms: -171x + -56x = -227x 1026 + -227x = -86.3 + 56x + -56x Combine like terms: 56x + -56x = 0 1026 + -227x = -86.3 + 0 1026 + -227x = -86.3 Add '-1026' to each side of the equation. 1026 + -1026 + -227x = -86.3 + -1026 Combine like terms: 1026 + -1026 = 0 0 + -227x = -86.3 + -1026 -227x = -86.3 + -1026 Combine like terms: -86.3 + -1026 = -1112.3 -227x = -1112.3 Divide each side by '-227'. x = 4.9 Simplifying x = 4.9
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