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Simplifying 5(-3 + x) = 6x + -0.5 (-3 * 5 + x * 5) = 6x + -0.5 (-15 + 5x) = 6x + -0.5 Reorder the terms: -15 + 5x = -0.5 + 6x Solving -15 + 5x = -0.5 + 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. -15 + 5x + -6x = -0.5 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = -0.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = -0.5 + 0 -15 + -1x = -0.5 Add '15' to each side of the equation. -15 + 15 + -1x = -0.5 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -0.5 + 15 -1x = -0.5 + 15 Combine like terms: -0.5 + 15 = 14.5 -1x = 14.5 Divide each side by '-1'. x = -14.5 Simplifying x = -14.5
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