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Simplifying 6(x + -11) = 12 + 4(2x + -3) Reorder the terms: 6(-11 + x) = 12 + 4(2x + -3) (-11 * 6 + x * 6) = 12 + 4(2x + -3) (-66 + 6x) = 12 + 4(2x + -3) Reorder the terms: -66 + 6x = 12 + 4(-3 + 2x) -66 + 6x = 12 + (-3 * 4 + 2x * 4) -66 + 6x = 12 + (-12 + 8x) Combine like terms: 12 + -12 = 0 -66 + 6x = 0 + 8x -66 + 6x = 8x Solving -66 + 6x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -66 + 6x + -8x = 8x + -8x Combine like terms: 6x + -8x = -2x -66 + -2x = 8x + -8x Combine like terms: 8x + -8x = 0 -66 + -2x = 0 Add '66' to each side of the equation. -66 + 66 + -2x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -2x = 0 + 66 -2x = 0 + 66 Combine like terms: 0 + 66 = 66 -2x = 66 Divide each side by '-2'. x = -33 Simplifying x = -33
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