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Simplifying 0.6(3x + -5) + -0.4 = 0.75(2x + -3) Reorder the terms: 0.6(-5 + 3x) + -0.4 = 0.75(2x + -3) (-5 * 0.6 + 3x * 0.6) + -0.4 = 0.75(2x + -3) (-3 + 1.8x) + -0.4 = 0.75(2x + -3) Reorder the terms: -3 + -0.4 + 1.8x = 0.75(2x + -3) Combine like terms: -3 + -0.4 = -3.4 -3.4 + 1.8x = 0.75(2x + -3) Reorder the terms: -3.4 + 1.8x = 0.75(-3 + 2x) -3.4 + 1.8x = (-3 * 0.75 + 2x * 0.75) -3.4 + 1.8x = (-2.25 + 1.5x) Solving -3.4 + 1.8x = -2.25 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -3.4 + 1.8x + -1.5x = -2.25 + 1.5x + -1.5x Combine like terms: 1.8x + -1.5x = 0.3x -3.4 + 0.3x = -2.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -3.4 + 0.3x = -2.25 + 0.0 -3.4 + 0.3x = -2.25 Add '3.4' to each side of the equation. -3.4 + 3.4 + 0.3x = -2.25 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 0.3x = -2.25 + 3.4 0.3x = -2.25 + 3.4 Combine like terms: -2.25 + 3.4 = 1.15 0.3x = 1.15 Divide each side by '0.3'. x = 3.833333333 Simplifying x = 3.833333333
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