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Simplifying 760 + -0.3x = 0.7(1085.714 + -0.4285x) 760 + -0.3x = (1085.714 * 0.7 + -0.4285x * 0.7) 760 + -0.3x = (759.9998 + -0.29995x) Solving 760 + -0.3x = 759.9998 + -0.29995x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.29995x' to each side of the equation. 760 + -0.3x + 0.29995x = 759.9998 + -0.29995x + 0.29995x Combine like terms: -0.3x + 0.29995x = -0.00005x 760 + -0.00005x = 759.9998 + -0.29995x + 0.29995x Combine like terms: -0.29995x + 0.29995x = 0.00000 760 + -0.00005x = 759.9998 + 0.00000 760 + -0.00005x = 759.9998 Add '-760' to each side of the equation. 760 + -760 + -0.00005x = 759.9998 + -760 Combine like terms: 760 + -760 = 0 0 + -0.00005x = 759.9998 + -760 -0.00005x = 759.9998 + -760 Combine like terms: 759.9998 + -760 = -0.0002 -0.00005x = -0.0002 Divide each side by '-0.00005'. x = 4 Simplifying x = 4
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