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Simplifying 1.5x + 3.7 = 3.4x + -2 Reorder the terms: 3.7 + 1.5x = 3.4x + -2 Reorder the terms: 3.7 + 1.5x = -2 + 3.4x Solving 3.7 + 1.5x = -2 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 3.7 + 1.5x + -3.4x = -2 + 3.4x + -3.4x Combine like terms: 1.5x + -3.4x = -1.9x 3.7 + -1.9x = -2 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 3.7 + -1.9x = -2 + 0.0 3.7 + -1.9x = -2 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -1.9x = -2 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -1.9x = -2 + -3.7 -1.9x = -2 + -3.7 Combine like terms: -2 + -3.7 = -5.7 -1.9x = -5.7 Divide each side by '-1.9'. x = 3 Simplifying x = 3
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