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Simplifying -1.5(x + 7) + 2x = 1.8 + -1x Reorder the terms: -1.5(7 + x) + 2x = 1.8 + -1x (7 * -1.5 + x * -1.5) + 2x = 1.8 + -1x (-10.5 + -1.5x) + 2x = 1.8 + -1x Combine like terms: -1.5x + 2x = 0.5x -10.5 + 0.5x = 1.8 + -1x Solving -10.5 + 0.5x = 1.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10.5 + 0.5x + x = 1.8 + -1x + x Combine like terms: 0.5x + x = 1.5x -10.5 + 1.5x = 1.8 + -1x + x Combine like terms: -1x + x = 0 -10.5 + 1.5x = 1.8 + 0 -10.5 + 1.5x = 1.8 Add '10.5' to each side of the equation. -10.5 + 10.5 + 1.5x = 1.8 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 1.5x = 1.8 + 10.5 1.5x = 1.8 + 10.5 Combine like terms: 1.8 + 10.5 = 12.3 1.5x = 12.3 Divide each side by '1.5'. x = 8.2 Simplifying x = 8.2
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