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Simplifying 1.9x + -40.3 = 6.5(7.4 + 3x) + -4x Reorder the terms: -40.3 + 1.9x = 6.5(7.4 + 3x) + -4x -40.3 + 1.9x = (7.4 * 6.5 + 3x * 6.5) + -4x -40.3 + 1.9x = (48.1 + 19.5x) + -4x Combine like terms: 19.5x + -4x = 15.5x -40.3 + 1.9x = 48.1 + 15.5x Solving -40.3 + 1.9x = 48.1 + 15.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5x' to each side of the equation. -40.3 + 1.9x + -15.5x = 48.1 + 15.5x + -15.5x Combine like terms: 1.9x + -15.5x = -13.6x -40.3 + -13.6x = 48.1 + 15.5x + -15.5x Combine like terms: 15.5x + -15.5x = 0.0 -40.3 + -13.6x = 48.1 + 0.0 -40.3 + -13.6x = 48.1 Add '40.3' to each side of the equation. -40.3 + 40.3 + -13.6x = 48.1 + 40.3 Combine like terms: -40.3 + 40.3 = 0.0 0.0 + -13.6x = 48.1 + 40.3 -13.6x = 48.1 + 40.3 Combine like terms: 48.1 + 40.3 = 88.4 -13.6x = 88.4 Divide each side by '-13.6'. x = -6.5 Simplifying x = -6.5
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