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Simplifying 3(5x + -2) + -30 = 11x + -4 Reorder the terms: 3(-2 + 5x) + -30 = 11x + -4 (-2 * 3 + 5x * 3) + -30 = 11x + -4 (-6 + 15x) + -30 = 11x + -4 Reorder the terms: -6 + -30 + 15x = 11x + -4 Combine like terms: -6 + -30 = -36 -36 + 15x = 11x + -4 Reorder the terms: -36 + 15x = -4 + 11x Solving -36 + 15x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -36 + 15x + -11x = -4 + 11x + -11x Combine like terms: 15x + -11x = 4x -36 + 4x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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