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Simplifying 11x + -3(5x + -4) = 2 + 6(x + 5) Reorder the terms: 11x + -3(-4 + 5x) = 2 + 6(x + 5) 11x + (-4 * -3 + 5x * -3) = 2 + 6(x + 5) 11x + (12 + -15x) = 2 + 6(x + 5) Reorder the terms: 12 + 11x + -15x = 2 + 6(x + 5) Combine like terms: 11x + -15x = -4x 12 + -4x = 2 + 6(x + 5) Reorder the terms: 12 + -4x = 2 + 6(5 + x) 12 + -4x = 2 + (5 * 6 + x * 6) 12 + -4x = 2 + (30 + 6x) Combine like terms: 2 + 30 = 32 12 + -4x = 32 + 6x Solving 12 + -4x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -4x + -6x = 32 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = 32 + 0 12 + -10x = 32 Add '-12' to each side of the equation. 12 + -12 + -10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 32 + -12 -10x = 32 + -12 Combine like terms: 32 + -12 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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