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Simplifying 0.1x + -7 = 0.12x + 14 Reorder the terms: -7 + 0.1x = 0.12x + 14 Reorder the terms: -7 + 0.1x = 14 + 0.12x Solving -7 + 0.1x = 14 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. -7 + 0.1x + -0.12x = 14 + 0.12x + -0.12x Combine like terms: 0.1x + -0.12x = -0.02x -7 + -0.02x = 14 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 -7 + -0.02x = 14 + 0.00 -7 + -0.02x = 14 Add '7' to each side of the equation. -7 + 7 + -0.02x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -0.02x = 14 + 7 -0.02x = 14 + 7 Combine like terms: 14 + 7 = 21 -0.02x = 21 Divide each side by '-0.02'. x = -1050 Simplifying x = -1050
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