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Simplifying 1.5(x + -2) + -5 = 19 Reorder the terms: 1.5(-2 + x) + -5 = 19 (-2 * 1.5 + x * 1.5) + -5 = 19 (-3 + 1.5x) + -5 = 19 Reorder the terms: -3 + -5 + 1.5x = 19 Combine like terms: -3 + -5 = -8 -8 + 1.5x = 19 Solving -8 + 1.5x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1.5x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 1.5x = 19 + 8 1.5x = 19 + 8 Combine like terms: 19 + 8 = 27 1.5x = 27 Divide each side by '1.5'. x = 18 Simplifying x = 18
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