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Simplifying 0.75(x + 0.17) = -0.38(x + -5) Reorder the terms: 0.75(0.17 + x) = -0.38(x + -5) (0.17 * 0.75 + x * 0.75) = -0.38(x + -5) (0.1275 + 0.75x) = -0.38(x + -5) Reorder the terms: 0.1275 + 0.75x = -0.38(-5 + x) 0.1275 + 0.75x = (-5 * -0.38 + x * -0.38) 0.1275 + 0.75x = (1.9 + -0.38x) Solving 0.1275 + 0.75x = 1.9 + -0.38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.38x' to each side of the equation. 0.1275 + 0.75x + 0.38x = 1.9 + -0.38x + 0.38x Combine like terms: 0.75x + 0.38x = 1.13x 0.1275 + 1.13x = 1.9 + -0.38x + 0.38x Combine like terms: -0.38x + 0.38x = 0.00 0.1275 + 1.13x = 1.9 + 0.00 0.1275 + 1.13x = 1.9 Add '-0.1275' to each side of the equation. 0.1275 + -0.1275 + 1.13x = 1.9 + -0.1275 Combine like terms: 0.1275 + -0.1275 = 0.0000 0.0000 + 1.13x = 1.9 + -0.1275 1.13x = 1.9 + -0.1275 Combine like terms: 1.9 + -0.1275 = 1.7725 1.13x = 1.7725 Divide each side by '1.13'. x = 1.568584071 Simplifying x = 1.568584071
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