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Simplifying 0.75(x + -5) = 0.667(3x + -4) Reorder the terms: 0.75(-5 + x) = 0.667(3x + -4) (-5 * 0.75 + x * 0.75) = 0.667(3x + -4) (-3.75 + 0.75x) = 0.667(3x + -4) Reorder the terms: -3.75 + 0.75x = 0.667(-4 + 3x) -3.75 + 0.75x = (-4 * 0.667 + 3x * 0.667) -3.75 + 0.75x = (-2.668 + 2.001x) Solving -3.75 + 0.75x = -2.668 + 2.001x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.001x' to each side of the equation. -3.75 + 0.75x + -2.001x = -2.668 + 2.001x + -2.001x Combine like terms: 0.75x + -2.001x = -1.251x -3.75 + -1.251x = -2.668 + 2.001x + -2.001x Combine like terms: 2.001x + -2.001x = 0.000 -3.75 + -1.251x = -2.668 + 0.000 -3.75 + -1.251x = -2.668 Add '3.75' to each side of the equation. -3.75 + 3.75 + -1.251x = -2.668 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + -1.251x = -2.668 + 3.75 -1.251x = -2.668 + 3.75 Combine like terms: -2.668 + 3.75 = 1.082 -1.251x = 1.082 Divide each side by '-1.251'. x = -0.8649080735 Simplifying x = -0.8649080735
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