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Simplifying 30x + -3(-1x + 6) + (-5x + 4) = 0 Reorder the terms: 30x + -3(6 + -1x) + (-5x + 4) = 0 30x + (6 * -3 + -1x * -3) + (-5x + 4) = 0 30x + (-18 + 3x) + (-5x + 4) = 0 Reorder the terms: 30x + -18 + 3x + (4 + -5x) = 0 Remove parenthesis around (4 + -5x) 30x + -18 + 3x + 4 + -5x = 0 Reorder the terms: -18 + 4 + 30x + 3x + -5x = 0 Combine like terms: -18 + 4 = -14 -14 + 30x + 3x + -5x = 0 Combine like terms: 30x + 3x = 33x -14 + 33x + -5x = 0 Combine like terms: 33x + -5x = 28x -14 + 28x = 0 Solving -14 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 28x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 28x = 0 + 14 28x = 0 + 14 Combine like terms: 0 + 14 = 14 28x = 14 Divide each side by '28'. x = 0.5 Simplifying x = 0.5
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