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Simplifying 5(2x + 5) + 4 = 33 + 6x Reorder the terms: 5(5 + 2x) + 4 = 33 + 6x (5 * 5 + 2x * 5) + 4 = 33 + 6x (25 + 10x) + 4 = 33 + 6x Reorder the terms: 25 + 4 + 10x = 33 + 6x Combine like terms: 25 + 4 = 29 29 + 10x = 33 + 6x Solving 29 + 10x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 10x + -6x = 33 + 6x + -6x Combine like terms: 10x + -6x = 4x 29 + 4x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 4x = 33 + 0 29 + 4x = 33 Add '-29' to each side of the equation. 29 + -29 + 4x = 33 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 33 + -29 4x = 33 + -29 Combine like terms: 33 + -29 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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