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Simplifying 1.5(x + -2) = 1.4(4 + -6x) Reorder the terms: 1.5(-2 + x) = 1.4(4 + -6x) (-2 * 1.5 + x * 1.5) = 1.4(4 + -6x) (-3 + 1.5x) = 1.4(4 + -6x) -3 + 1.5x = (4 * 1.4 + -6x * 1.4) -3 + 1.5x = (5.6 + -8.4x) Solving -3 + 1.5x = 5.6 + -8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.4x' to each side of the equation. -3 + 1.5x + 8.4x = 5.6 + -8.4x + 8.4x Combine like terms: 1.5x + 8.4x = 9.9x -3 + 9.9x = 5.6 + -8.4x + 8.4x Combine like terms: -8.4x + 8.4x = 0.0 -3 + 9.9x = 5.6 + 0.0 -3 + 9.9x = 5.6 Add '3' to each side of the equation. -3 + 3 + 9.9x = 5.6 + 3 Combine like terms: -3 + 3 = 0 0 + 9.9x = 5.6 + 3 9.9x = 5.6 + 3 Combine like terms: 5.6 + 3 = 8.6 9.9x = 8.6 Divide each side by '9.9'. x = 0.8686868687 Simplifying x = 0.8686868687
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