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Simplifying 12 + -68 + 3(2x + 3) = 2x + 5 Reorder the terms: 12 + -68 + 3(3 + 2x) = 2x + 5 12 + -68 + (3 * 3 + 2x * 3) = 2x + 5 12 + -68 + (9 + 6x) = 2x + 5 Combine like terms: 12 + -68 = -56 -56 + 9 + 6x = 2x + 5 Combine like terms: -56 + 9 = -47 -47 + 6x = 2x + 5 Reorder the terms: -47 + 6x = 5 + 2x Solving -47 + 6x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -47 + 6x + -2x = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x -47 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -47 + 4x = 5 + 0 -47 + 4x = 5 Add '47' to each side of the equation. -47 + 47 + 4x = 5 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = 5 + 47 4x = 5 + 47 Combine like terms: 5 + 47 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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