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Simplifying 1.2(x + -5) = 1.6(2x + 5) Reorder the terms: 1.2(-5 + x) = 1.6(2x + 5) (-5 * 1.2 + x * 1.2) = 1.6(2x + 5) (-6 + 1.2x) = 1.6(2x + 5) Reorder the terms: -6 + 1.2x = 1.6(5 + 2x) -6 + 1.2x = (5 * 1.6 + 2x * 1.6) -6 + 1.2x = (8 + 3.2x) Solving -6 + 1.2x = 8 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. -6 + 1.2x + -3.2x = 8 + 3.2x + -3.2x Combine like terms: 1.2x + -3.2x = -2x -6 + -2x = 8 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 -6 + -2x = 8 + 0.0 -6 + -2x = 8 Add '6' to each side of the equation. -6 + 6 + -2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 8 + 6 -2x = 8 + 6 Combine like terms: 8 + 6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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