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Simplifying 11.9 = 0.7[x + (x + -12) * 0.6] Reorder the terms: 11.9 = 0.7[x + (-12 + x) * 0.6] Reorder the terms for easier multiplication: 11.9 = 0.7[x + 0.6(-12 + x)] 11.9 = 0.7[x + (-12 * 0.6 + x * 0.6)] 11.9 = 0.7[x + (-7.2 + 0.6x)] Reorder the terms: 11.9 = 0.7[-7.2 + x + 0.6x] Combine like terms: x + 0.6x = 1.6x 11.9 = 0.7[-7.2 + 1.6x] 11.9 = [-7.2 * 0.7 + 1.6x * 0.7] 11.9 = [-5.04 + 1.12x] Solving 11.9 = -5.04 + 1.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.12x' to each side of the equation. 11.9 + -1.12x = -5.04 + 1.12x + -1.12x Combine like terms: 1.12x + -1.12x = 0.00 11.9 + -1.12x = -5.04 + 0.00 11.9 + -1.12x = -5.04 Add '-11.9' to each side of the equation. 11.9 + -11.9 + -1.12x = -5.04 + -11.9 Combine like terms: 11.9 + -11.9 = 0.0 0.0 + -1.12x = -5.04 + -11.9 -1.12x = -5.04 + -11.9 Combine like terms: -5.04 + -11.9 = -16.94 -1.12x = -16.94 Divide each side by '-1.12'. x = 15.125 Simplifying x = 15.125
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