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Simplifying 2.5(6x + -4) = 10 + 4(1.5 + 0.05x) Reorder the terms: 2.5(-4 + 6x) = 10 + 4(1.5 + 0.05x) (-4 * 2.5 + 6x * 2.5) = 10 + 4(1.5 + 0.05x) (-10 + 15x) = 10 + 4(1.5 + 0.05x) -10 + 15x = 10 + (1.5 * 4 + 0.05x * 4) -10 + 15x = 10 + (6 + 0.2x) Combine like terms: 10 + 6 = 16 -10 + 15x = 16 + 0.2x Solving -10 + 15x = 16 + 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. -10 + 15x + -0.2x = 16 + 0.2x + -0.2x Combine like terms: 15x + -0.2x = 14.8x -10 + 14.8x = 16 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -10 + 14.8x = 16 + 0.0 -10 + 14.8x = 16 Add '10' to each side of the equation. -10 + 10 + 14.8x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 14.8x = 16 + 10 14.8x = 16 + 10 Combine like terms: 16 + 10 = 26 14.8x = 26 Divide each side by '14.8'. x = 1.756756757 Simplifying x = 1.756756757
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