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Simplifying 2.3(1.5x + -6) = -4.7 + 3.2x + -1.9 Reorder the terms: 2.3(-6 + 1.5x) = -4.7 + 3.2x + -1.9 (-6 * 2.3 + 1.5x * 2.3) = -4.7 + 3.2x + -1.9 (-13.8 + 3.45x) = -4.7 + 3.2x + -1.9 Reorder the terms: -13.8 + 3.45x = -4.7 + -1.9 + 3.2x Combine like terms: -4.7 + -1.9 = -6.6 -13.8 + 3.45x = -6.6 + 3.2x Solving -13.8 + 3.45x = -6.6 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. -13.8 + 3.45x + -3.2x = -6.6 + 3.2x + -3.2x Combine like terms: 3.45x + -3.2x = 0.25x -13.8 + 0.25x = -6.6 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 -13.8 + 0.25x = -6.6 + 0.0 -13.8 + 0.25x = -6.6 Add '13.8' to each side of the equation. -13.8 + 13.8 + 0.25x = -6.6 + 13.8 Combine like terms: -13.8 + 13.8 = 0.0 0.0 + 0.25x = -6.6 + 13.8 0.25x = -6.6 + 13.8 Combine like terms: -6.6 + 13.8 = 7.2 0.25x = 7.2 Divide each side by '0.25'. x = 28.8 Simplifying x = 28.8
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