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Simplifying 5(3x + -2) + -1(x + -3) = 0 Reorder the terms: 5(-2 + 3x) + -1(x + -3) = 0 (-2 * 5 + 3x * 5) + -1(x + -3) = 0 (-10 + 15x) + -1(x + -3) = 0 Reorder the terms: -10 + 15x + -1(-3 + x) = 0 -10 + 15x + (-3 * -1 + x * -1) = 0 -10 + 15x + (3 + -1x) = 0 Reorder the terms: -10 + 3 + 15x + -1x = 0 Combine like terms: -10 + 3 = -7 -7 + 15x + -1x = 0 Combine like terms: 15x + -1x = 14x -7 + 14x = 0 Solving -7 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 0 + 7 14x = 0 + 7 Combine like terms: 0 + 7 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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