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Simplifying 3(x + 17) = 2(2x + -5) Reorder the terms: 3(17 + x) = 2(2x + -5) (17 * 3 + x * 3) = 2(2x + -5) (51 + 3x) = 2(2x + -5) Reorder the terms: 51 + 3x = 2(-5 + 2x) 51 + 3x = (-5 * 2 + 2x * 2) 51 + 3x = (-10 + 4x) Solving 51 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 51 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 51 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + -1x = -10 + 0 51 + -1x = -10 Add '-51' to each side of the equation. 51 + -51 + -1x = -10 + -51 Combine like terms: 51 + -51 = 0 0 + -1x = -10 + -51 -1x = -10 + -51 Combine like terms: -10 + -51 = -61 -1x = -61 Divide each side by '-1'. x = 61 Simplifying x = 61
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