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Simplifying 0.5(2x + -14) = 6x + 28 Reorder the terms: 0.5(-14 + 2x) = 6x + 28 (-14 * 0.5 + 2x * 0.5) = 6x + 28 (-7 + 1x) = 6x + 28 Reorder the terms: -7 + 1x = 28 + 6x Solving -7 + 1x = 28 + 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. -7 + 1x + -6x = 28 + 6x + -6x Combine like terms: 1x + -6x = -5x -7 + -5x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -5x = 28 + 0 -7 + -5x = 28 Add '7' to each side of the equation. -7 + 7 + -5x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 28 + 7 -5x = 28 + 7 Combine like terms: 28 + 7 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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