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Simplifying 0.5x + 0.3(x + -0.4) = 0.7x Reorder the terms: 0.5x + 0.3(-0.4 + x) = 0.7x 0.5x + (-0.4 * 0.3 + x * 0.3) = 0.7x 0.5x + (-0.12 + 0.3x) = 0.7x Reorder the terms: -0.12 + 0.5x + 0.3x = 0.7x Combine like terms: 0.5x + 0.3x = 0.8x -0.12 + 0.8x = 0.7x Solving -0.12 + 0.8x = 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -0.12 + 0.8x + -0.7x = 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x -0.12 + 0.1x = 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.12 + 0.1x = 0.0 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.1x = 0.0 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.1x = 0.0 + 0.12 0.1x = 0.0 + 0.12 Combine like terms: 0.0 + 0.12 = 0.12 0.1x = 0.12 Divide each side by '0.1'. x = 1.2 Simplifying x = 1.2
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