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Simplifying 0.1x + -0.4 = 2.4 + -0.5(4x + -7) Reorder the terms: -0.4 + 0.1x = 2.4 + -0.5(4x + -7) Reorder the terms: -0.4 + 0.1x = 2.4 + -0.5(-7 + 4x) -0.4 + 0.1x = 2.4 + (-7 * -0.5 + 4x * -0.5) -0.4 + 0.1x = 2.4 + (3.5 + -2x) Combine like terms: 2.4 + 3.5 = 5.9 -0.4 + 0.1x = 5.9 + -2x Solving -0.4 + 0.1x = 5.9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -0.4 + 0.1x + 2x = 5.9 + -2x + 2x Combine like terms: 0.1x + 2x = 2.1x -0.4 + 2.1x = 5.9 + -2x + 2x Combine like terms: -2x + 2x = 0 -0.4 + 2.1x = 5.9 + 0 -0.4 + 2.1x = 5.9 Add '0.4' to each side of the equation. -0.4 + 0.4 + 2.1x = 5.9 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 2.1x = 5.9 + 0.4 2.1x = 5.9 + 0.4 Combine like terms: 5.9 + 0.4 = 6.3 2.1x = 6.3 Divide each side by '2.1'. x = 3 Simplifying x = 3
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