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Simplifying 12x + 4x + 7 + -5x = 8 + 25x + -30 + 23 Reorder the terms: 7 + 12x + 4x + -5x = 8 + 25x + -30 + 23 Combine like terms: 12x + 4x = 16x 7 + 16x + -5x = 8 + 25x + -30 + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = 8 + 25x + -30 + 23 Reorder the terms: 7 + 11x = 8 + -30 + 23 + 25x Combine like terms: 8 + -30 = -22 7 + 11x = -22 + 23 + 25x Combine like terms: -22 + 23 = 1 7 + 11x = 1 + 25x Solving 7 + 11x = 1 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 7 + 11x + -25x = 1 + 25x + -25x Combine like terms: 11x + -25x = -14x 7 + -14x = 1 + 25x + -25x Combine like terms: 25x + -25x = 0 7 + -14x = 1 + 0 7 + -14x = 1 Add '-7' to each side of the equation. 7 + -7 + -14x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 1 + -7 -14x = 1 + -7 Combine like terms: 1 + -7 = -6 -14x = -6 Divide each side by '-14'. x = 0.4285714286 Simplifying x = 0.4285714286
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