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Simplifying -3(3x + 1) + -5x + -3 = 4x + 30 Reorder the terms: -3(1 + 3x) + -5x + -3 = 4x + 30 (1 * -3 + 3x * -3) + -5x + -3 = 4x + 30 (-3 + -9x) + -5x + -3 = 4x + 30 Reorder the terms: -3 + -3 + -9x + -5x = 4x + 30 Combine like terms: -3 + -3 = -6 -6 + -9x + -5x = 4x + 30 Combine like terms: -9x + -5x = -14x -6 + -14x = 4x + 30 Reorder the terms: -6 + -14x = 30 + 4x Solving -6 + -14x = 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 + -14x + -4x = 30 + 4x + -4x Combine like terms: -14x + -4x = -18x -6 + -18x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -18x = 30 + 0 -6 + -18x = 30 Add '6' to each side of the equation. -6 + 6 + -18x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 30 + 6 -18x = 30 + 6 Combine like terms: 30 + 6 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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