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