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Simplifying 2x + -3(1.5x + -4) = 10 Reorder the terms: 2x + -3(-4 + 1.5x) = 10 2x + (-4 * -3 + 1.5x * -3) = 10 2x + (12 + -4.5x) = 10 Reorder the terms: 12 + 2x + -4.5x = 10 Combine like terms: 2x + -4.5x = -2.5x 12 + -2.5x = 10 Solving 12 + -2.5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2.5x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2.5x = 10 + -12 -2.5x = 10 + -12 Combine like terms: 10 + -12 = -2 -2.5x = -2 Divide each side by '-2.5'. x = 0.8 Simplifying x = 0.8
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