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Simplifying 1.5(2x + -1) = 2(0.4x + 0.7) Reorder the terms: 1.5(-1 + 2x) = 2(0.4x + 0.7) (-1 * 1.5 + 2x * 1.5) = 2(0.4x + 0.7) (-1.5 + 3x) = 2(0.4x + 0.7) Reorder the terms: -1.5 + 3x = 2(0.7 + 0.4x) -1.5 + 3x = (0.7 * 2 + 0.4x * 2) -1.5 + 3x = (1.4 + 0.8x) Solving -1.5 + 3x = 1.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -1.5 + 3x + -0.8x = 1.4 + 0.8x + -0.8x Combine like terms: 3x + -0.8x = 2.2x -1.5 + 2.2x = 1.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -1.5 + 2.2x = 1.4 + 0.0 -1.5 + 2.2x = 1.4 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2.2x = 1.4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2.2x = 1.4 + 1.5 2.2x = 1.4 + 1.5 Combine like terms: 1.4 + 1.5 = 2.9 2.2x = 2.9 Divide each side by '2.2'. x = 1.318181818 Simplifying x = 1.318181818
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