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Simplifying 5x + -5 = 1.5(x + -6) Reorder the terms: -5 + 5x = 1.5(x + -6) Reorder the terms: -5 + 5x = 1.5(-6 + x) -5 + 5x = (-6 * 1.5 + x * 1.5) -5 + 5x = (-9 + 1.5x) Solving -5 + 5x = -9 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5 + 5x + -1.5x = -9 + 1.5x + -1.5x Combine like terms: 5x + -1.5x = 3.5x -5 + 3.5x = -9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5 + 3.5x = -9 + 0.0 -5 + 3.5x = -9 Add '5' to each side of the equation. -5 + 5 + 3.5x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 3.5x = -9 + 5 3.5x = -9 + 5 Combine like terms: -9 + 5 = -4 3.5x = -4 Divide each side by '3.5'. x = -1.142857143 Simplifying x = -1.142857143
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