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Simplifying -1.4x + 2(3x + -0.4) = 2x + 1.5 Reorder the terms: -1.4x + 2(-0.4 + 3x) = 2x + 1.5 -1.4x + (-0.4 * 2 + 3x * 2) = 2x + 1.5 -1.4x + (-0.8 + 6x) = 2x + 1.5 Reorder the terms: -0.8 + -1.4x + 6x = 2x + 1.5 Combine like terms: -1.4x + 6x = 4.6x -0.8 + 4.6x = 2x + 1.5 Reorder the terms: -0.8 + 4.6x = 1.5 + 2x Solving -0.8 + 4.6x = 1.5 + 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. -0.8 + 4.6x + -2x = 1.5 + 2x + -2x Combine like terms: 4.6x + -2x = 2.6x -0.8 + 2.6x = 1.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.8 + 2.6x = 1.5 + 0 -0.8 + 2.6x = 1.5 Add '0.8' to each side of the equation. -0.8 + 0.8 + 2.6x = 1.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 2.6x = 1.5 + 0.8 2.6x = 1.5 + 0.8 Combine like terms: 1.5 + 0.8 = 2.3 2.6x = 2.3 Divide each side by '2.6'. x = 0.8846153846 Simplifying x = 0.8846153846
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