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Simplifying 4x + 1.5 + -2.4x = 0.2x + -3.4 Reorder the terms: 1.5 + 4x + -2.4x = 0.2x + -3.4 Combine like terms: 4x + -2.4x = 1.6x 1.5 + 1.6x = 0.2x + -3.4 Reorder the terms: 1.5 + 1.6x = -3.4 + 0.2x Solving 1.5 + 1.6x = -3.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1.5 + 1.6x + -0.2x = -3.4 + 0.2x + -0.2x Combine like terms: 1.6x + -0.2x = 1.4x 1.5 + 1.4x = -3.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.5 + 1.4x = -3.4 + 0.0 1.5 + 1.4x = -3.4 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 1.4x = -3.4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.4x = -3.4 + -1.5 1.4x = -3.4 + -1.5 Combine like terms: -3.4 + -1.5 = -4.9 1.4x = -4.9 Divide each side by '1.4'. x = -3.5 Simplifying x = -3.5
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