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Simplifying 0.4x + -0.7 + -0.3 = -0.7x + 4.9 Reorder the terms: -0.7 + -0.3 + 0.4x = -0.7x + 4.9 Combine like terms: -0.7 + -0.3 = -1 -1 + 0.4x = -0.7x + 4.9 Reorder the terms: -1 + 0.4x = 4.9 + -0.7x Solving -1 + 0.4x = 4.9 + -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. -1 + 0.4x + 0.7x = 4.9 + -0.7x + 0.7x Combine like terms: 0.4x + 0.7x = 1.1x -1 + 1.1x = 4.9 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -1 + 1.1x = 4.9 + 0.0 -1 + 1.1x = 4.9 Add '1' to each side of the equation. -1 + 1 + 1.1x = 4.9 + 1 Combine like terms: -1 + 1 = 0 0 + 1.1x = 4.9 + 1 1.1x = 4.9 + 1 Combine like terms: 4.9 + 1 = 5.9 1.1x = 5.9 Divide each side by '1.1'. x = 5.363636364 Simplifying x = 5.363636364
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