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Simplifying 6(x + -1) = 15 + -3(2x + 5) Reorder the terms: 6(-1 + x) = 15 + -3(2x + 5) (-1 * 6 + x * 6) = 15 + -3(2x + 5) (-6 + 6x) = 15 + -3(2x + 5) Reorder the terms: -6 + 6x = 15 + -3(5 + 2x) -6 + 6x = 15 + (5 * -3 + 2x * -3) -6 + 6x = 15 + (-15 + -6x) Combine like terms: 15 + -15 = 0 -6 + 6x = 0 + -6x -6 + 6x = -6x Solving -6 + 6x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 12x = 0 Add '6' to each side of the equation. -6 + 6 + 12x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 0 + 6 12x = 0 + 6 Combine like terms: 0 + 6 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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