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Simplifying 3(5x + -2) + -1(14x + -11) = 3 Reorder the terms: 3(-2 + 5x) + -1(14x + -11) = 3 (-2 * 3 + 5x * 3) + -1(14x + -11) = 3 (-6 + 15x) + -1(14x + -11) = 3 Reorder the terms: -6 + 15x + -1(-11 + 14x) = 3 -6 + 15x + (-11 * -1 + 14x * -1) = 3 -6 + 15x + (11 + -14x) = 3 Reorder the terms: -6 + 11 + 15x + -14x = 3 Combine like terms: -6 + 11 = 5 5 + 15x + -14x = 3 Combine like terms: 15x + -14x = 1x 5 + 1x = 3 Solving 5 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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