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Simplifying 0.4(3.4 + -4x) = -0.8x (3.4 * 0.4 + -4x * 0.4) = -0.8x (1.36 + -1.6x) = -0.8x Solving 1.36 + -1.6x = -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. 1.36 + -1.6x + 0.8x = -0.8x + 0.8x Combine like terms: -1.6x + 0.8x = -0.8x 1.36 + -0.8x = -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 1.36 + -0.8x = 0.0 Add '-1.36' to each side of the equation. 1.36 + -1.36 + -0.8x = 0.0 + -1.36 Combine like terms: 1.36 + -1.36 = 0.00 0.00 + -0.8x = 0.0 + -1.36 -0.8x = 0.0 + -1.36 Combine like terms: 0.0 + -1.36 = -1.36 -0.8x = -1.36 Divide each side by '-0.8'. x = 1.7 Simplifying x = 1.7
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