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Simplifying 12 + x + 3.80 = 3.8(x + 12) Reorder the terms: 12 + 3.80 + x = 3.8(x + 12) Combine like terms: 12 + 3.80 = 15.8 15.8 + x = 3.8(x + 12) Reorder the terms: 15.8 + x = 3.8(12 + x) 15.8 + x = (12 * 3.8 + x * 3.8) 15.8 + x = (45.6 + 3.8x) Solving 15.8 + x = 45.6 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 15.8 + x + -3.8x = 45.6 + 3.8x + -3.8x Combine like terms: x + -3.8x = -2.8x 15.8 + -2.8x = 45.6 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 15.8 + -2.8x = 45.6 + 0.0 15.8 + -2.8x = 45.6 Add '-15.8' to each side of the equation. 15.8 + -15.8 + -2.8x = 45.6 + -15.8 Combine like terms: 15.8 + -15.8 = 0.0 0.0 + -2.8x = 45.6 + -15.8 -2.8x = 45.6 + -15.8 Combine like terms: 45.6 + -15.8 = 29.8 -2.8x = 29.8 Divide each side by '-2.8'. x = -10.64285714 Simplifying x = -10.64285714
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