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Simplifying -4(5x + -7) + 4 = -30x + 32 Reorder the terms: -4(-7 + 5x) + 4 = -30x + 32 (-7 * -4 + 5x * -4) + 4 = -30x + 32 (28 + -20x) + 4 = -30x + 32 Reorder the terms: 28 + 4 + -20x = -30x + 32 Combine like terms: 28 + 4 = 32 32 + -20x = -30x + 32 Reorder the terms: 32 + -20x = 32 + -30x Add '-32' to each side of the equation. 32 + -32 + -20x = 32 + -32 + -30x Combine like terms: 32 + -32 = 0 0 + -20x = 32 + -32 + -30x -20x = 32 + -32 + -30x Combine like terms: 32 + -32 = 0 -20x = 0 + -30x -20x = -30x Solving -20x = -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -20x + 30x = -30x + 30x Combine like terms: -20x + 30x = 10x 10x = -30x + 30x Combine like terms: -30x + 30x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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