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Simplifying 3(2x + -5) + 8 = 6x + -1(2x + 3) Reorder the terms: 3(-5 + 2x) + 8 = 6x + -1(2x + 3) (-5 * 3 + 2x * 3) + 8 = 6x + -1(2x + 3) (-15 + 6x) + 8 = 6x + -1(2x + 3) Reorder the terms: -15 + 8 + 6x = 6x + -1(2x + 3) Combine like terms: -15 + 8 = -7 -7 + 6x = 6x + -1(2x + 3) Reorder the terms: -7 + 6x = 6x + -1(3 + 2x) -7 + 6x = 6x + (3 * -1 + 2x * -1) -7 + 6x = 6x + (-3 + -2x) Reorder the terms: -7 + 6x = -3 + 6x + -2x Combine like terms: 6x + -2x = 4x -7 + 6x = -3 + 4x Solving -7 + 6x = -3 + 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. -7 + 6x + -4x = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x -7 + 2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 2x = -3 + 0 -7 + 2x = -3 Add '7' to each side of the equation. -7 + 7 + 2x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -3 + 7 2x = -3 + 7 Combine like terms: -3 + 7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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