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Simplifying 33 = 7 + 2(4x + -3) Reorder the terms: 33 = 7 + 2(-3 + 4x) 33 = 7 + (-3 * 2 + 4x * 2) 33 = 7 + (-6 + 8x) Combine like terms: 7 + -6 = 1 33 = 1 + 8x Solving 33 = 1 + 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. 33 + -8x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + -8x = 1 + 0 33 + -8x = 1 Add '-33' to each side of the equation. 33 + -33 + -8x = 1 + -33 Combine like terms: 33 + -33 = 0 0 + -8x = 1 + -33 -8x = 1 + -33 Combine like terms: 1 + -33 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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