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Simplifying 3(2x + -5) = 6 + -1(2x + 7) Reorder the terms: 3(-5 + 2x) = 6 + -1(2x + 7) (-5 * 3 + 2x * 3) = 6 + -1(2x + 7) (-15 + 6x) = 6 + -1(2x + 7) Reorder the terms: -15 + 6x = 6 + -1(7 + 2x) -15 + 6x = 6 + (7 * -1 + 2x * -1) -15 + 6x = 6 + (-7 + -2x) Combine like terms: 6 + -7 = -1 -15 + 6x = -1 + -2x Solving -15 + 6x = -1 + -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. -15 + 6x + 2x = -1 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = -1 + 0 -15 + 8x = -1 Add '15' to each side of the equation. -15 + 15 + 8x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -1 + 15 8x = -1 + 15 Combine like terms: -1 + 15 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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