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Simplifying 6(1 + -2x) = -5(5 + 3x) + 4 (1 * 6 + -2x * 6) = -5(5 + 3x) + 4 (6 + -12x) = -5(5 + 3x) + 4 6 + -12x = (5 * -5 + 3x * -5) + 4 6 + -12x = (-25 + -15x) + 4 Reorder the terms: 6 + -12x = -25 + 4 + -15x Combine like terms: -25 + 4 = -21 6 + -12x = -21 + -15x Solving 6 + -12x = -21 + -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 + -12x + 15x = -21 + -15x + 15x Combine like terms: -12x + 15x = 3x 6 + 3x = -21 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 3x = -21 + 0 6 + 3x = -21 Add '-6' to each side of the equation. 6 + -6 + 3x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -21 + -6 3x = -21 + -6 Combine like terms: -21 + -6 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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