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Simplifying 0.5(x + -4) = 3x + -13 Reorder the terms: 0.5(-4 + x) = 3x + -13 (-4 * 0.5 + x * 0.5) = 3x + -13 (-2 + 0.5x) = 3x + -13 Reorder the terms: -2 + 0.5x = -13 + 3x Solving -2 + 0.5x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 0.5x + -3x = -13 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -2 + -2.5x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2.5x = -13 + 0 -2 + -2.5x = -13 Add '2' to each side of the equation. -2 + 2 + -2.5x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + -2.5x = -13 + 2 -2.5x = -13 + 2 Combine like terms: -13 + 2 = -11 -2.5x = -11 Divide each side by '-2.5'. x = 4.4 Simplifying x = 4.4
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