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Simplifying 12(2x + -1) + -4(-2x + -1) = 2(x + 11) Reorder the terms: 12(-1 + 2x) + -4(-2x + -1) = 2(x + 11) (-1 * 12 + 2x * 12) + -4(-2x + -1) = 2(x + 11) (-12 + 24x) + -4(-2x + -1) = 2(x + 11) Reorder the terms: -12 + 24x + -4(-1 + -2x) = 2(x + 11) -12 + 24x + (-1 * -4 + -2x * -4) = 2(x + 11) -12 + 24x + (4 + 8x) = 2(x + 11) Reorder the terms: -12 + 4 + 24x + 8x = 2(x + 11) Combine like terms: -12 + 4 = -8 -8 + 24x + 8x = 2(x + 11) Combine like terms: 24x + 8x = 32x -8 + 32x = 2(x + 11) Reorder the terms: -8 + 32x = 2(11 + x) -8 + 32x = (11 * 2 + x * 2) -8 + 32x = (22 + 2x) Solving -8 + 32x = 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. -8 + 32x + -2x = 22 + 2x + -2x Combine like terms: 32x + -2x = 30x -8 + 30x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 30x = 22 + 0 -8 + 30x = 22 Add '8' to each side of the equation. -8 + 8 + 30x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 30x = 22 + 8 30x = 22 + 8 Combine like terms: 22 + 8 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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