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Simplifying 4 + -2(2x + -3) = 2(x + 11) Reorder the terms: 4 + -2(-3 + 2x) = 2(x + 11) 4 + (-3 * -2 + 2x * -2) = 2(x + 11) 4 + (6 + -4x) = 2(x + 11) Combine like terms: 4 + 6 = 10 10 + -4x = 2(x + 11) Reorder the terms: 10 + -4x = 2(11 + x) 10 + -4x = (11 * 2 + x * 2) 10 + -4x = (22 + 2x) Solving 10 + -4x = 22 + 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. 10 + -4x + -2x = 22 + 2x + -2x Combine like terms: -4x + -2x = -6x 10 + -6x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -6x = 22 + 0 10 + -6x = 22 Add '-10' to each side of the equation. 10 + -10 + -6x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 22 + -10 -6x = 22 + -10 Combine like terms: 22 + -10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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