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Simplifying 5(3x + -2) + -14(x + -3) = 0 Reorder the terms: 5(-2 + 3x) + -14(x + -3) = 0 (-2 * 5 + 3x * 5) + -14(x + -3) = 0 (-10 + 15x) + -14(x + -3) = 0 Reorder the terms: -10 + 15x + -14(-3 + x) = 0 -10 + 15x + (-3 * -14 + x * -14) = 0 -10 + 15x + (42 + -14x) = 0 Reorder the terms: -10 + 42 + 15x + -14x = 0 Combine like terms: -10 + 42 = 32 32 + 15x + -14x = 0 Combine like terms: 15x + -14x = 1x 32 + 1x = 0 Solving 32 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 0 + -32 1x = 0 + -32 Combine like terms: 0 + -32 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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