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Simplifying 3x + -6 + -2(x + 5) = -5(x + 3) Reorder the terms: 3x + -6 + -2(5 + x) = -5(x + 3) 3x + -6 + (5 * -2 + x * -2) = -5(x + 3) 3x + -6 + (-10 + -2x) = -5(x + 3) Reorder the terms: -6 + -10 + 3x + -2x = -5(x + 3) Combine like terms: -6 + -10 = -16 -16 + 3x + -2x = -5(x + 3) Combine like terms: 3x + -2x = 1x -16 + 1x = -5(x + 3) Reorder the terms: -16 + 1x = -5(3 + x) -16 + 1x = (3 * -5 + x * -5) -16 + 1x = (-15 + -5x) Solving -16 + 1x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 1x + 5x = -15 + -5x + 5x Combine like terms: 1x + 5x = 6x -16 + 6x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 6x = -15 + 0 -16 + 6x = -15 Add '16' to each side of the equation. -16 + 16 + 6x = -15 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -15 + 16 6x = -15 + 16 Combine like terms: -15 + 16 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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