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Simplifying -0.75(x + 4) = 0.2(x + -0.75) Reorder the terms: -0.75(4 + x) = 0.2(x + -0.75) (4 * -0.75 + x * -0.75) = 0.2(x + -0.75) (-3 + -0.75x) = 0.2(x + -0.75) Reorder the terms: -3 + -0.75x = 0.2(-0.75 + x) -3 + -0.75x = (-0.75 * 0.2 + x * 0.2) -3 + -0.75x = (-0.15 + 0.2x) Solving -3 + -0.75x = -0.15 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3 + -0.75x + -0.2x = -0.15 + 0.2x + -0.2x Combine like terms: -0.75x + -0.2x = -0.95x -3 + -0.95x = -0.15 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3 + -0.95x = -0.15 + 0.0 -3 + -0.95x = -0.15 Add '3' to each side of the equation. -3 + 3 + -0.95x = -0.15 + 3 Combine like terms: -3 + 3 = 0 0 + -0.95x = -0.15 + 3 -0.95x = -0.15 + 3 Combine like terms: -0.15 + 3 = 2.85 -0.95x = 2.85 Divide each side by '-0.95'. x = -3 Simplifying x = -3
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