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Simplifying 0.75x + -5.8 = 0.3x + -1(8 + -1x) Reorder the terms: -5.8 + 0.75x = 0.3x + -1(8 + -1x) -5.8 + 0.75x = 0.3x + (8 * -1 + -1x * -1) -5.8 + 0.75x = 0.3x + (-8 + 1x) Reorder the terms: -5.8 + 0.75x = -8 + 0.3x + 1x Combine like terms: 0.3x + 1x = 1.3x -5.8 + 0.75x = -8 + 1.3x Solving -5.8 + 0.75x = -8 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -5.8 + 0.75x + -1.3x = -8 + 1.3x + -1.3x Combine like terms: 0.75x + -1.3x = -0.55x -5.8 + -0.55x = -8 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -5.8 + -0.55x = -8 + 0.0 -5.8 + -0.55x = -8 Add '5.8' to each side of the equation. -5.8 + 5.8 + -0.55x = -8 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -0.55x = -8 + 5.8 -0.55x = -8 + 5.8 Combine like terms: -8 + 5.8 = -2.2 -0.55x = -2.2 Divide each side by '-0.55'. x = 4 Simplifying x = 4
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