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Simplifying x + -2.2x + 2.1 = -5.4(x + -3.5) Reorder the terms: 2.1 + x + -2.2x = -5.4(x + -3.5) Combine like terms: x + -2.2x = -1.2x 2.1 + -1.2x = -5.4(x + -3.5) Reorder the terms: 2.1 + -1.2x = -5.4(-3.5 + x) 2.1 + -1.2x = (-3.5 * -5.4 + x * -5.4) 2.1 + -1.2x = (18.9 + -5.4x) Solving 2.1 + -1.2x = 18.9 + -5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4x' to each side of the equation. 2.1 + -1.2x + 5.4x = 18.9 + -5.4x + 5.4x Combine like terms: -1.2x + 5.4x = 4.2x 2.1 + 4.2x = 18.9 + -5.4x + 5.4x Combine like terms: -5.4x + 5.4x = 0.0 2.1 + 4.2x = 18.9 + 0.0 2.1 + 4.2x = 18.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 4.2x = 18.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 4.2x = 18.9 + -2.1 4.2x = 18.9 + -2.1 Combine like terms: 18.9 + -2.1 = 16.8 4.2x = 16.8 Divide each side by '4.2'. x = 4 Simplifying x = 4
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