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Simplifying 2(3x + -1) + 5 = x + 35 + -7 Reorder the terms: 2(-1 + 3x) + 5 = x + 35 + -7 (-1 * 2 + 3x * 2) + 5 = x + 35 + -7 (-2 + 6x) + 5 = x + 35 + -7 Reorder the terms: -2 + 5 + 6x = x + 35 + -7 Combine like terms: -2 + 5 = 3 3 + 6x = x + 35 + -7 Reorder the terms: 3 + 6x = 35 + -7 + x Combine like terms: 35 + -7 = 28 3 + 6x = 28 + x Solving 3 + 6x = 28 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 6x + -1x = 28 + x + -1x Combine like terms: 6x + -1x = 5x 3 + 5x = 28 + x + -1x Combine like terms: x + -1x = 0 3 + 5x = 28 + 0 3 + 5x = 28 Add '-3' to each side of the equation. 3 + -3 + 5x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 28 + -3 5x = 28 + -3 Combine like terms: 28 + -3 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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