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Simplifying 0.5(6x + -14) = 5x + -1 Reorder the terms: 0.5(-14 + 6x) = 5x + -1 (-14 * 0.5 + 6x * 0.5) = 5x + -1 (-7 + 3x) = 5x + -1 Reorder the terms: -7 + 3x = -1 + 5x Solving -7 + 3x = -1 + 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. -7 + 3x + -5x = -1 + 5x + -5x Combine like terms: 3x + -5x = -2x -7 + -2x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -2x = -1 + 0 -7 + -2x = -1 Add '7' to each side of the equation. -7 + 7 + -2x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -1 + 7 -2x = -1 + 7 Combine like terms: -1 + 7 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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