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Simplifying 15.4 = -7 + 1.2(x + 3.5) Reorder the terms: 15.4 = -7 + 1.2(3.5 + x) 15.4 = -7 + (3.5 * 1.2 + x * 1.2) 15.4 = -7 + (4.2 + 1.2x) Combine like terms: -7 + 4.2 = -2.8 15.4 = -2.8 + 1.2x Solving 15.4 = -2.8 + 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. 15.4 + -1.2x = -2.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 15.4 + -1.2x = -2.8 + 0.0 15.4 + -1.2x = -2.8 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -1.2x = -2.8 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -1.2x = -2.8 + -15.4 -1.2x = -2.8 + -15.4 Combine like terms: -2.8 + -15.4 = -18.2 -1.2x = -18.2 Divide each side by '-1.2'. x = 15.16666667 Simplifying x = 15.16666667
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