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Simplifying 4(-7 + x) = 5x + -0.5 (-7 * 4 + x * 4) = 5x + -0.5 (-28 + 4x) = 5x + -0.5 Reorder the terms: -28 + 4x = -0.5 + 5x Solving -28 + 4x = -0.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 4x + -5x = -0.5 + 5x + -5x Combine like terms: 4x + -5x = -1x -28 + -1x = -0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + -1x = -0.5 + 0 -28 + -1x = -0.5 Add '28' to each side of the equation. -28 + 28 + -1x = -0.5 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -0.5 + 28 -1x = -0.5 + 28 Combine like terms: -0.5 + 28 = 27.5 -1x = 27.5 Divide each side by '-1'. x = -27.5 Simplifying x = -27.5
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