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Simplifying 10x + [12(1 + -1x)] = 7x + [14(1 + -1x)] 10x + [(1 * 12 + -1x * 12)] = 7x + [14(1 + -1x)] 10x + [(12 + -12x)] = 7x + [14(1 + -1x)] 10x + [12 + -12x] = 7x + [14(1 + -1x)] Remove brackets around [12 + -12x] 10x + 12 + -12x = 7x + [14(1 + -1x)] Reorder the terms: 12 + 10x + -12x = 7x + [14(1 + -1x)] Combine like terms: 10x + -12x = -2x 12 + -2x = 7x + [14(1 + -1x)] 12 + -2x = 7x + [(1 * 14 + -1x * 14)] 12 + -2x = 7x + [(14 + -14x)] 12 + -2x = 7x + [14 + -14x] Remove brackets around [14 + -14x] 12 + -2x = 7x + 14 + -14x Reorder the terms: 12 + -2x = 14 + 7x + -14x Combine like terms: 7x + -14x = -7x 12 + -2x = 14 + -7x Solving 12 + -2x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -2x + 7x = 14 + -7x + 7x Combine like terms: -2x + 7x = 5x 12 + 5x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 5x = 14 + 0 12 + 5x = 14 Add '-12' to each side of the equation. 12 + -12 + 5x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 14 + -12 5x = 14 + -12 Combine like terms: 14 + -12 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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