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Simplifying -0.5x + 5(x + -3) = x + -1 Reorder the terms: -0.5x + 5(-3 + x) = x + -1 -0.5x + (-3 * 5 + x * 5) = x + -1 -0.5x + (-15 + 5x) = x + -1 Reorder the terms: -15 + -0.5x + 5x = x + -1 Combine like terms: -0.5x + 5x = 4.5x -15 + 4.5x = x + -1 Reorder the terms: -15 + 4.5x = -1 + x Solving -15 + 4.5x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 4.5x + -1x = -1 + x + -1x Combine like terms: 4.5x + -1x = 3.5x -15 + 3.5x = -1 + x + -1x Combine like terms: x + -1x = 0 -15 + 3.5x = -1 + 0 -15 + 3.5x = -1 Add '15' to each side of the equation. -15 + 15 + 3.5x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 3.5x = -1 + 15 3.5x = -1 + 15 Combine like terms: -1 + 15 = 14 3.5x = 14 Divide each side by '3.5'. x = 4 Simplifying x = 4
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