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Simplifying 3x + 16.9 = -1(11x + -29.5) Reorder the terms: 16.9 + 3x = -1(11x + -29.5) Reorder the terms: 16.9 + 3x = -1(-29.5 + 11x) 16.9 + 3x = (-29.5 * -1 + 11x * -1) 16.9 + 3x = (29.5 + -11x) Solving 16.9 + 3x = 29.5 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 16.9 + 3x + 11x = 29.5 + -11x + 11x Combine like terms: 3x + 11x = 14x 16.9 + 14x = 29.5 + -11x + 11x Combine like terms: -11x + 11x = 0 16.9 + 14x = 29.5 + 0 16.9 + 14x = 29.5 Add '-16.9' to each side of the equation. 16.9 + -16.9 + 14x = 29.5 + -16.9 Combine like terms: 16.9 + -16.9 = 0.0 0.0 + 14x = 29.5 + -16.9 14x = 29.5 + -16.9 Combine like terms: 29.5 + -16.9 = 12.6 14x = 12.6 Divide each side by '14'. x = 0.9 Simplifying x = 0.9
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