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Simplifying 0.5x + 0.7(4 + -3x) = 0.4x 0.5x + (4 * 0.7 + -3x * 0.7) = 0.4x 0.5x + (2.8 + -2.1x) = 0.4x Reorder the terms: 2.8 + 0.5x + -2.1x = 0.4x Combine like terms: 0.5x + -2.1x = -1.6x 2.8 + -1.6x = 0.4x Solving 2.8 + -1.6x = 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2.8 + -1.6x + -0.4x = 0.4x + -0.4x Combine like terms: -1.6x + -0.4x = -2x 2.8 + -2x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.8 + -2x = 0.0 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -2x = 0.0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -2x = 0.0 + -2.8 -2x = 0.0 + -2.8 Combine like terms: 0.0 + -2.8 = -2.8 -2x = -2.8 Divide each side by '-2'. x = 1.4 Simplifying x = 1.4
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