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Simplifying 2.5(6x + -4) = 10 + 4(1.5 + 0.5x) Reorder the terms: 2.5(-4 + 6x) = 10 + 4(1.5 + 0.5x) (-4 * 2.5 + 6x * 2.5) = 10 + 4(1.5 + 0.5x) (-10 + 15x) = 10 + 4(1.5 + 0.5x) -10 + 15x = 10 + (1.5 * 4 + 0.5x * 4) -10 + 15x = 10 + (6 + 2x) Combine like terms: 10 + 6 = 16 -10 + 15x = 16 + 2x Solving -10 + 15x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 15x + -2x = 16 + 2x + -2x Combine like terms: 15x + -2x = 13x -10 + 13x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 13x = 16 + 0 -10 + 13x = 16 Add '10' to each side of the equation. -10 + 10 + 13x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 16 + 10 13x = 16 + 10 Combine like terms: 16 + 10 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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