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Simplifying 0.4(0.7 + -4x) = -1.1x (0.7 * 0.4 + -4x * 0.4) = -1.1x (0.28 + -1.6x) = -1.1x Solving 0.28 + -1.6x = -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 0.28 + -1.6x + 1.1x = -1.1x + 1.1x Combine like terms: -1.6x + 1.1x = -0.5x 0.28 + -0.5x = -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 0.28 + -0.5x = 0.0 Add '-0.28' to each side of the equation. 0.28 + -0.28 + -0.5x = 0.0 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.5x = 0.0 + -0.28 -0.5x = 0.0 + -0.28 Combine like terms: 0.0 + -0.28 = -0.28 -0.5x = -0.28 Divide each side by '-0.5'. x = 0.56 Simplifying x = 0.56
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