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Simplifying 14x + -22 = 0.4(15x + 65) Reorder the terms: -22 + 14x = 0.4(15x + 65) Reorder the terms: -22 + 14x = 0.4(65 + 15x) -22 + 14x = (65 * 0.4 + 15x * 0.4) -22 + 14x = (26 + 6x) Solving -22 + 14x = 26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 14x + -6x = 26 + 6x + -6x Combine like terms: 14x + -6x = 8x -22 + 8x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 8x = 26 + 0 -22 + 8x = 26 Add '22' to each side of the equation. -22 + 22 + 8x = 26 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 26 + 22 8x = 26 + 22 Combine like terms: 26 + 22 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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