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Simplifying 1.5(2x + -4) = 0.5(x + 3) + -4 Reorder the terms: 1.5(-4 + 2x) = 0.5(x + 3) + -4 (-4 * 1.5 + 2x * 1.5) = 0.5(x + 3) + -4 (-6 + 3x) = 0.5(x + 3) + -4 Reorder the terms: -6 + 3x = 0.5(3 + x) + -4 -6 + 3x = (3 * 0.5 + x * 0.5) + -4 -6 + 3x = (1.5 + 0.5x) + -4 Reorder the terms: -6 + 3x = 1.5 + -4 + 0.5x Combine like terms: 1.5 + -4 = -2.5 -6 + 3x = -2.5 + 0.5x Solving -6 + 3x = -2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -6 + 3x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -6 + 2.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 2.5x = -2.5 + 0.0 -6 + 2.5x = -2.5 Add '6' to each side of the equation. -6 + 6 + 2.5x = -2.5 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5x = -2.5 + 6 2.5x = -2.5 + 6 Combine like terms: -2.5 + 6 = 3.5 2.5x = 3.5 Divide each side by '2.5'. x = 1.4 Simplifying x = 1.4
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