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Simplifying 0.7(3x + -2) = 3.5x + 1 Reorder the terms: 0.7(-2 + 3x) = 3.5x + 1 (-2 * 0.7 + 3x * 0.7) = 3.5x + 1 (-1.4 + 2.1x) = 3.5x + 1 Reorder the terms: -1.4 + 2.1x = 1 + 3.5x Solving -1.4 + 2.1x = 1 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -1.4 + 2.1x + -3.5x = 1 + 3.5x + -3.5x Combine like terms: 2.1x + -3.5x = -1.4x -1.4 + -1.4x = 1 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -1.4 + -1.4x = 1 + 0.0 -1.4 + -1.4x = 1 Add '1.4' to each side of the equation. -1.4 + 1.4 + -1.4x = 1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -1.4x = 1 + 1.4 -1.4x = 1 + 1.4 Combine like terms: 1 + 1.4 = 2.4 -1.4x = 2.4 Divide each side by '-1.4'. x = -1.714285714 Simplifying x = -1.714285714
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