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Simplifying 5(0.4x + -1) + 2x + -14 = 14x + 19 Reorder the terms: 5(-1 + 0.4x) + 2x + -14 = 14x + 19 (-1 * 5 + 0.4x * 5) + 2x + -14 = 14x + 19 (-5 + 2x) + 2x + -14 = 14x + 19 Reorder the terms: -5 + -14 + 2x + 2x = 14x + 19 Combine like terms: -5 + -14 = -19 -19 + 2x + 2x = 14x + 19 Combine like terms: 2x + 2x = 4x -19 + 4x = 14x + 19 Reorder the terms: -19 + 4x = 19 + 14x Solving -19 + 4x = 19 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -19 + 4x + -14x = 19 + 14x + -14x Combine like terms: 4x + -14x = -10x -19 + -10x = 19 + 14x + -14x Combine like terms: 14x + -14x = 0 -19 + -10x = 19 + 0 -19 + -10x = 19 Add '19' to each side of the equation. -19 + 19 + -10x = 19 + 19 Combine like terms: -19 + 19 = 0 0 + -10x = 19 + 19 -10x = 19 + 19 Combine like terms: 19 + 19 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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