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Simplifying 0.5(500 + -2.2x) = 3.8(4x + -3000) (500 * 0.5 + -2.2x * 0.5) = 3.8(4x + -3000) (250 + -1.1x) = 3.8(4x + -3000) Reorder the terms: 250 + -1.1x = 3.8(-3000 + 4x) 250 + -1.1x = (-3000 * 3.8 + 4x * 3.8) 250 + -1.1x = (-11400 + 15.2x) Solving 250 + -1.1x = -11400 + 15.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.2x' to each side of the equation. 250 + -1.1x + -15.2x = -11400 + 15.2x + -15.2x Combine like terms: -1.1x + -15.2x = -16.3x 250 + -16.3x = -11400 + 15.2x + -15.2x Combine like terms: 15.2x + -15.2x = 0.0 250 + -16.3x = -11400 + 0.0 250 + -16.3x = -11400 Add '-250' to each side of the equation. 250 + -250 + -16.3x = -11400 + -250 Combine like terms: 250 + -250 = 0 0 + -16.3x = -11400 + -250 -16.3x = -11400 + -250 Combine like terms: -11400 + -250 = -11650 -16.3x = -11650 Divide each side by '-16.3'. x = 714.7239264 Simplifying x = 714.7239264
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