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Simplifying x + -1.4x + 2 = -3.5(x + 1.2) Reorder the terms: 2 + x + -1.4x = -3.5(x + 1.2) Combine like terms: x + -1.4x = -0.4x 2 + -0.4x = -3.5(x + 1.2) Reorder the terms: 2 + -0.4x = -3.5(1.2 + x) 2 + -0.4x = (1.2 * -3.5 + x * -3.5) 2 + -0.4x = (-4.2 + -3.5x) Solving 2 + -0.4x = -4.2 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 2 + -0.4x + 3.5x = -4.2 + -3.5x + 3.5x Combine like terms: -0.4x + 3.5x = 3.1x 2 + 3.1x = -4.2 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 2 + 3.1x = -4.2 + 0.0 2 + 3.1x = -4.2 Add '-2' to each side of the equation. 2 + -2 + 3.1x = -4.2 + -2 Combine like terms: 2 + -2 = 0 0 + 3.1x = -4.2 + -2 3.1x = -4.2 + -2 Combine like terms: -4.2 + -2 = -6.2 3.1x = -6.2 Divide each side by '3.1'. x = -2 Simplifying x = -2
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