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Simplifying 1.5x + 11.3 = 3.4x + -2 Reorder the terms: 11.3 + 1.5x = 3.4x + -2 Reorder the terms: 11.3 + 1.5x = -2 + 3.4x Solving 11.3 + 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. 11.3 + 1.5x + -3.4x = -2 + 3.4x + -3.4x Combine like terms: 1.5x + -3.4x = -1.9x 11.3 + -1.9x = -2 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 11.3 + -1.9x = -2 + 0.0 11.3 + -1.9x = -2 Add '-11.3' to each side of the equation. 11.3 + -11.3 + -1.9x = -2 + -11.3 Combine like terms: 11.3 + -11.3 = 0.0 0.0 + -1.9x = -2 + -11.3 -1.9x = -2 + -11.3 Combine like terms: -2 + -11.3 = -13.3 -1.9x = -13.3 Divide each side by '-1.9'. x = 7 Simplifying x = 7
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