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Simplifying 0.9x + -2.1 + 0.9 = 0.2(5 + -1x) * 2 Reorder the terms: -2.1 + 0.9 + 0.9x = 0.2(5 + -1x) * 2 Combine like terms: -2.1 + 0.9 = -1.2 -1.2 + 0.9x = 0.2(5 + -1x) * 2 Reorder the terms for easier multiplication: -1.2 + 0.9x = 0.2 * 2(5 + -1x) Multiply 0.2 * 2 -1.2 + 0.9x = 0.4(5 + -1x) -1.2 + 0.9x = (5 * 0.4 + -1x * 0.4) -1.2 + 0.9x = (2 + -0.4x) Solving -1.2 + 0.9x = 2 + -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. -1.2 + 0.9x + 0.4x = 2 + -0.4x + 0.4x Combine like terms: 0.9x + 0.4x = 1.3x -1.2 + 1.3x = 2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1.2 + 1.3x = 2 + 0.0 -1.2 + 1.3x = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.3x = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.3x = 2 + 1.2 1.3x = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 1.3x = 3.2 Divide each side by '1.3'. x = 2.461538462 Simplifying x = 2.461538462
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