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Simplifying 0.3(2x + -1) = 0.2(4x + 7) Reorder the terms: 0.3(-1 + 2x) = 0.2(4x + 7) (-1 * 0.3 + 2x * 0.3) = 0.2(4x + 7) (-0.3 + 0.6x) = 0.2(4x + 7) Reorder the terms: -0.3 + 0.6x = 0.2(7 + 4x) -0.3 + 0.6x = (7 * 0.2 + 4x * 0.2) -0.3 + 0.6x = (1.4 + 0.8x) Solving -0.3 + 0.6x = 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. -0.3 + 0.6x + -0.8x = 1.4 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -0.3 + -0.2x = 1.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.3 + -0.2x = 1.4 + 0.0 -0.3 + -0.2x = 1.4 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.2x = 1.4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.2x = 1.4 + 0.3 -0.2x = 1.4 + 0.3 Combine like terms: 1.4 + 0.3 = 1.7 -0.2x = 1.7 Divide each side by '-0.2'. x = -8.5 Simplifying x = -8.5
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