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Simplifying 1 = 14 + -1[4 + 1.2(x + -4)] Reorder the terms: 1 = 14 + -1[4 + 1.2(-4 + x)] 1 = 14 + -1[4 + (-4 * 1.2 + x * 1.2)] 1 = 14 + -1[4 + (-4.8 + 1.2x)] Combine like terms: 4 + -4.8 = -0.8 1 = 14 + -1[-0.8 + 1.2x] 1 = 14 + [-0.8 * -1 + 1.2x * -1] 1 = 14 + [0.8 + -1.2x] Combine like terms: 14 + 0.8 = 14.8 1 = 14.8 + -1.2x Solving 1 = 14.8 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 1 + 1.2x = 14.8 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 1 + 1.2x = 14.8 + 0.0 1 + 1.2x = 14.8 Add '-1' to each side of the equation. 1 + -1 + 1.2x = 14.8 + -1 Combine like terms: 1 + -1 = 0 0 + 1.2x = 14.8 + -1 1.2x = 14.8 + -1 Combine like terms: 14.8 + -1 = 13.8 1.2x = 13.8 Divide each side by '1.2'. x = 11.5 Simplifying x = 11.5
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