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Simplifying -0.75(5.2x + -6) = 1.2x + -0.8 + -3.7x Reorder the terms: -0.75(-6 + 5.2x) = 1.2x + -0.8 + -3.7x (-6 * -0.75 + 5.2x * -0.75) = 1.2x + -0.8 + -3.7x (4.5 + -3.9x) = 1.2x + -0.8 + -3.7x Reorder the terms: 4.5 + -3.9x = -0.8 + 1.2x + -3.7x Combine like terms: 1.2x + -3.7x = -2.5x 4.5 + -3.9x = -0.8 + -2.5x Solving 4.5 + -3.9x = -0.8 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 4.5 + -3.9x + 2.5x = -0.8 + -2.5x + 2.5x Combine like terms: -3.9x + 2.5x = -1.4x 4.5 + -1.4x = -0.8 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 4.5 + -1.4x = -0.8 + 0.0 4.5 + -1.4x = -0.8 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.4x = -0.8 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.4x = -0.8 + -4.5 -1.4x = -0.8 + -4.5 Combine like terms: -0.8 + -4.5 = -5.3 -1.4x = -5.3 Divide each side by '-1.4'. x = 3.785714286 Simplifying x = 3.785714286
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