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Simplifying 12.6 = x + 1.4[10 + -1x] 12.6 = x + [10 * 1.4 + -1x * 1.4] 12.6 = x + [14 + -1.4x] Reorder the terms: 12.6 = 14 + x + -1.4x Combine like terms: x + -1.4x = -0.4x 12.6 = 14 + -0.4x Solving 12.6 = 14 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 12.6 + 0.4x = 14 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 12.6 + 0.4x = 14 + 0.0 12.6 + 0.4x = 14 Add '-12.6' to each side of the equation. 12.6 + -12.6 + 0.4x = 14 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 0.4x = 14 + -12.6 0.4x = 14 + -12.6 Combine like terms: 14 + -12.6 = 1.4 0.4x = 1.4 Divide each side by '0.4'. x = 3.5 Simplifying x = 3.5
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