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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 = 12.6 -1.2x = 12.6 Divide each side by '-1.2'. x = -10.5 Simplifying x = -10.5
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