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Simplifying 2(9x + -33) = 4 + -4(x + 4) Reorder the terms: 2(-33 + 9x) = 4 + -4(x + 4) (-33 * 2 + 9x * 2) = 4 + -4(x + 4) (-66 + 18x) = 4 + -4(x + 4) Reorder the terms: -66 + 18x = 4 + -4(4 + x) -66 + 18x = 4 + (4 * -4 + x * -4) -66 + 18x = 4 + (-16 + -4x) Combine like terms: 4 + -16 = -12 -66 + 18x = -12 + -4x Solving -66 + 18x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -66 + 18x + 4x = -12 + -4x + 4x Combine like terms: 18x + 4x = 22x -66 + 22x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -66 + 22x = -12 + 0 -66 + 22x = -12 Add '66' to each side of the equation. -66 + 66 + 22x = -12 + 66 Combine like terms: -66 + 66 = 0 0 + 22x = -12 + 66 22x = -12 + 66 Combine like terms: -12 + 66 = 54 22x = 54 Divide each side by '22'. x = 2.454545455 Simplifying x = 2.454545455
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