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Simplifying 2.1(x + -2) = 1.4x + 6.3 Reorder the terms: 2.1(-2 + x) = 1.4x + 6.3 (-2 * 2.1 + x * 2.1) = 1.4x + 6.3 (-4.2 + 2.1x) = 1.4x + 6.3 Reorder the terms: -4.2 + 2.1x = 6.3 + 1.4x Solving -4.2 + 2.1x = 6.3 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -4.2 + 2.1x + -1.4x = 6.3 + 1.4x + -1.4x Combine like terms: 2.1x + -1.4x = 0.7x -4.2 + 0.7x = 6.3 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -4.2 + 0.7x = 6.3 + 0.0 -4.2 + 0.7x = 6.3 Add '4.2' to each side of the equation. -4.2 + 4.2 + 0.7x = 6.3 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 0.7x = 6.3 + 4.2 0.7x = 6.3 + 4.2 Combine like terms: 6.3 + 4.2 = 10.5 0.7x = 10.5 Divide each side by '0.7'. x = 15 Simplifying x = 15
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