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Simplifying (5x2 + -5x + 5) + -1(5x2 + -1) = 4x + -30 Reorder the terms: (5 + -5x + 5x2) + -1(5x2 + -1) = 4x + -30 Remove parenthesis around (5 + -5x + 5x2) 5 + -5x + 5x2 + -1(5x2 + -1) = 4x + -30 Reorder the terms: 5 + -5x + 5x2 + -1(-1 + 5x2) = 4x + -30 5 + -5x + 5x2 + (-1 * -1 + 5x2 * -1) = 4x + -30 5 + -5x + 5x2 + (1 + -5x2) = 4x + -30 Reorder the terms: 5 + 1 + -5x + 5x2 + -5x2 = 4x + -30 Combine like terms: 5 + 1 = 6 6 + -5x + 5x2 + -5x2 = 4x + -30 Combine like terms: 5x2 + -5x2 = 0 6 + -5x + 0 = 4x + -30 6 + -5x = 4x + -30 Reorder the terms: 6 + -5x = -30 + 4x Solving 6 + -5x = -30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -5x + -4x = -30 + 4x + -4x Combine like terms: -5x + -4x = -9x 6 + -9x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -9x = -30 + 0 6 + -9x = -30 Add '-6' to each side of the equation. 6 + -6 + -9x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -30 + -6 -9x = -30 + -6 Combine like terms: -30 + -6 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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