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Simplifying 7 + 5(x + 8) = 2(3x + 5) + 33 Reorder the terms: 7 + 5(8 + x) = 2(3x + 5) + 33 7 + (8 * 5 + x * 5) = 2(3x + 5) + 33 7 + (40 + 5x) = 2(3x + 5) + 33 Combine like terms: 7 + 40 = 47 47 + 5x = 2(3x + 5) + 33 Reorder the terms: 47 + 5x = 2(5 + 3x) + 33 47 + 5x = (5 * 2 + 3x * 2) + 33 47 + 5x = (10 + 6x) + 33 Reorder the terms: 47 + 5x = 10 + 33 + 6x Combine like terms: 10 + 33 = 43 47 + 5x = 43 + 6x Solving 47 + 5x = 43 + 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. 47 + 5x + -6x = 43 + 6x + -6x Combine like terms: 5x + -6x = -1x 47 + -1x = 43 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + -1x = 43 + 0 47 + -1x = 43 Add '-47' to each side of the equation. 47 + -47 + -1x = 43 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 43 + -47 -1x = 43 + -47 Combine like terms: 43 + -47 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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