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Simplifying 11x + -3(4x + -7) = 2(x + -3) Reorder the terms: 11x + -3(-7 + 4x) = 2(x + -3) 11x + (-7 * -3 + 4x * -3) = 2(x + -3) 11x + (21 + -12x) = 2(x + -3) Reorder the terms: 21 + 11x + -12x = 2(x + -3) Combine like terms: 11x + -12x = -1x 21 + -1x = 2(x + -3) Reorder the terms: 21 + -1x = 2(-3 + x) 21 + -1x = (-3 * 2 + x * 2) 21 + -1x = (-6 + 2x) Solving 21 + -1x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x 21 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -3x = -6 + 0 21 + -3x = -6 Add '-21' to each side of the equation. 21 + -21 + -3x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -6 + -21 -3x = -6 + -21 Combine like terms: -6 + -21 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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