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Simplifying 4(x + 6) = 7x + 33 Reorder the terms: 4(6 + x) = 7x + 33 (6 * 4 + x * 4) = 7x + 33 (24 + 4x) = 7x + 33 Reorder the terms: 24 + 4x = 33 + 7x Solving 24 + 4x = 33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 4x + -7x = 33 + 7x + -7x Combine like terms: 4x + -7x = -3x 24 + -3x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -3x = 33 + 0 24 + -3x = 33 Add '-24' to each side of the equation. 24 + -24 + -3x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 33 + -24 -3x = 33 + -24 Combine like terms: 33 + -24 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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