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Simplifying 3x + -4 + -3(x + 5) = -6(x + 1) Reorder the terms: 3x + -4 + -3(5 + x) = -6(x + 1) 3x + -4 + (5 * -3 + x * -3) = -6(x + 1) 3x + -4 + (-15 + -3x) = -6(x + 1) Reorder the terms: -4 + -15 + 3x + -3x = -6(x + 1) Combine like terms: -4 + -15 = -19 -19 + 3x + -3x = -6(x + 1) Combine like terms: 3x + -3x = 0 -19 + 0 = -6(x + 1) -19 = -6(x + 1) Reorder the terms: -19 = -6(1 + x) -19 = (1 * -6 + x * -6) -19 = (-6 + -6x) Solving -19 = -6 + -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. -19 + 6x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -19 + 6x = -6 + 0 -19 + 6x = -6 Add '19' to each side of the equation. -19 + 19 + 6x = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = -6 + 19 6x = -6 + 19 Combine like terms: -6 + 19 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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