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Simplifying 38(12 + -4.5x) = 12(4x + -10) + 28.5 (12 * 38 + -4.5x * 38) = 12(4x + -10) + 28.5 (456 + -171x) = 12(4x + -10) + 28.5 Reorder the terms: 456 + -171x = 12(-10 + 4x) + 28.5 456 + -171x = (-10 * 12 + 4x * 12) + 28.5 456 + -171x = (-120 + 48x) + 28.5 Reorder the terms: 456 + -171x = -120 + 28.5 + 48x Combine like terms: -120 + 28.5 = -91.5 456 + -171x = -91.5 + 48x Solving 456 + -171x = -91.5 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 456 + -171x + -48x = -91.5 + 48x + -48x Combine like terms: -171x + -48x = -219x 456 + -219x = -91.5 + 48x + -48x Combine like terms: 48x + -48x = 0 456 + -219x = -91.5 + 0 456 + -219x = -91.5 Add '-456' to each side of the equation. 456 + -456 + -219x = -91.5 + -456 Combine like terms: 456 + -456 = 0 0 + -219x = -91.5 + -456 -219x = -91.5 + -456 Combine like terms: -91.5 + -456 = -547.5 -219x = -547.5 Divide each side by '-219'. x = 2.5 Simplifying x = 2.5
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