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Simplifying 33 + -2(x + 8) = 25 + 3(2x + -4) Reorder the terms: 33 + -2(8 + x) = 25 + 3(2x + -4) 33 + (8 * -2 + x * -2) = 25 + 3(2x + -4) 33 + (-16 + -2x) = 25 + 3(2x + -4) Combine like terms: 33 + -16 = 17 17 + -2x = 25 + 3(2x + -4) Reorder the terms: 17 + -2x = 25 + 3(-4 + 2x) 17 + -2x = 25 + (-4 * 3 + 2x * 3) 17 + -2x = 25 + (-12 + 6x) Combine like terms: 25 + -12 = 13 17 + -2x = 13 + 6x Solving 17 + -2x = 13 + 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. 17 + -2x + -6x = 13 + 6x + -6x Combine like terms: -2x + -6x = -8x 17 + -8x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -8x = 13 + 0 17 + -8x = 13 Add '-17' to each side of the equation. 17 + -17 + -8x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 13 + -17 -8x = 13 + -17 Combine like terms: 13 + -17 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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