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Simplifying 2 = 0.6(2x + 4) + -0.75(4x + -5) Reorder the terms: 2 = 0.6(4 + 2x) + -0.75(4x + -5) 2 = (4 * 0.6 + 2x * 0.6) + -0.75(4x + -5) 2 = (2.4 + 1.2x) + -0.75(4x + -5) Reorder the terms: 2 = 2.4 + 1.2x + -0.75(-5 + 4x) 2 = 2.4 + 1.2x + (-5 * -0.75 + 4x * -0.75) 2 = 2.4 + 1.2x + (3.75 + -3x) Reorder the terms: 2 = 2.4 + 3.75 + 1.2x + -3x Combine like terms: 2.4 + 3.75 = 6.15 2 = 6.15 + 1.2x + -3x Combine like terms: 1.2x + -3x = -1.8x 2 = 6.15 + -1.8x Solving 2 = 6.15 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 2 + 1.8x = 6.15 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 2 + 1.8x = 6.15 + 0.0 2 + 1.8x = 6.15 Add '-2' to each side of the equation. 2 + -2 + 1.8x = 6.15 + -2 Combine like terms: 2 + -2 = 0 0 + 1.8x = 6.15 + -2 1.8x = 6.15 + -2 Combine like terms: 6.15 + -2 = 4.15 1.8x = 4.15 Divide each side by '1.8'. x = 2.305555556 Simplifying x = 2.305555556
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