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Simplifying 0.5(x + 2) = -2(3x + 4) Reorder the terms: 0.5(2 + x) = -2(3x + 4) (2 * 0.5 + x * 0.5) = -2(3x + 4) (1 + 0.5x) = -2(3x + 4) Reorder the terms: 1 + 0.5x = -2(4 + 3x) 1 + 0.5x = (4 * -2 + 3x * -2) 1 + 0.5x = (-8 + -6x) Solving 1 + 0.5x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 0.5x + 6x = -8 + -6x + 6x Combine like terms: 0.5x + 6x = 6.5x 1 + 6.5x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 6.5x = -8 + 0 1 + 6.5x = -8 Add '-1' to each side of the equation. 1 + -1 + 6.5x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 6.5x = -8 + -1 6.5x = -8 + -1 Combine like terms: -8 + -1 = -9 6.5x = -9 Divide each side by '6.5'. x = -1.384615385 Simplifying x = -1.384615385
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