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Simplifying 38(12 + -4.5x) = 14(4x + -6) + 17.9 (12 * 38 + -4.5x * 38) = 14(4x + -6) + 17.9 (456 + -171x) = 14(4x + -6) + 17.9 Reorder the terms: 456 + -171x = 14(-6 + 4x) + 17.9 456 + -171x = (-6 * 14 + 4x * 14) + 17.9 456 + -171x = (-84 + 56x) + 17.9 Reorder the terms: 456 + -171x = -84 + 17.9 + 56x Combine like terms: -84 + 17.9 = -66.1 456 + -171x = -66.1 + 56x Solving 456 + -171x = -66.1 + 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. 456 + -171x + -56x = -66.1 + 56x + -56x Combine like terms: -171x + -56x = -227x 456 + -227x = -66.1 + 56x + -56x Combine like terms: 56x + -56x = 0 456 + -227x = -66.1 + 0 456 + -227x = -66.1 Add '-456' to each side of the equation. 456 + -456 + -227x = -66.1 + -456 Combine like terms: 456 + -456 = 0 0 + -227x = -66.1 + -456 -227x = -66.1 + -456 Combine like terms: -66.1 + -456 = -522.1 -227x = -522.1 Divide each side by '-227'. x = 2.3 Simplifying x = 2.3
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