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Simplifying 0.7(5x + -1.2) = 2x + -0.34 Reorder the terms: 0.7(-1.2 + 5x) = 2x + -0.34 (-1.2 * 0.7 + 5x * 0.7) = 2x + -0.34 (-0.84 + 3.5x) = 2x + -0.34 Reorder the terms: -0.84 + 3.5x = -0.34 + 2x Solving -0.84 + 3.5x = -0.34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.84 + 3.5x + -2x = -0.34 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x -0.84 + 1.5x = -0.34 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.84 + 1.5x = -0.34 + 0 -0.84 + 1.5x = -0.34 Add '0.84' to each side of the equation. -0.84 + 0.84 + 1.5x = -0.34 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 1.5x = -0.34 + 0.84 1.5x = -0.34 + 0.84 Combine like terms: -0.34 + 0.84 = 0.5 1.5x = 0.5 Divide each side by '1.5'. x = 0.3333333333 Simplifying x = 0.3333333333
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