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Simplifying -2(1 + -3x) + -4 = 6(3x + 5) + -3x (1 * -2 + -3x * -2) + -4 = 6(3x + 5) + -3x (-2 + 6x) + -4 = 6(3x + 5) + -3x Reorder the terms: -2 + -4 + 6x = 6(3x + 5) + -3x Combine like terms: -2 + -4 = -6 -6 + 6x = 6(3x + 5) + -3x Reorder the terms: -6 + 6x = 6(5 + 3x) + -3x -6 + 6x = (5 * 6 + 3x * 6) + -3x -6 + 6x = (30 + 18x) + -3x Combine like terms: 18x + -3x = 15x -6 + 6x = 30 + 15x Solving -6 + 6x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 6x + -15x = 30 + 15x + -15x Combine like terms: 6x + -15x = -9x -6 + -9x = 30 + 15x + -15x Combine like terms: 15x + -15x = 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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