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Simplifying 11 + -2(5 + 3x) = 2(x + -6) + 14 11 + (5 * -2 + 3x * -2) = 2(x + -6) + 14 11 + (-10 + -6x) = 2(x + -6) + 14 Combine like terms: 11 + -10 = 1 1 + -6x = 2(x + -6) + 14 Reorder the terms: 1 + -6x = 2(-6 + x) + 14 1 + -6x = (-6 * 2 + x * 2) + 14 1 + -6x = (-12 + 2x) + 14 Reorder the terms: 1 + -6x = -12 + 14 + 2x Combine like terms: -12 + 14 = 2 1 + -6x = 2 + 2x Solving 1 + -6x = 2 + 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. 1 + -6x + -2x = 2 + 2x + -2x Combine like terms: -6x + -2x = -8x 1 + -8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -8x = 2 + 0 1 + -8x = 2 Add '-1' to each side of the equation. 1 + -1 + -8x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 2 + -1 -8x = 2 + -1 Combine like terms: 2 + -1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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