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Simplifying -2(x + 5) + -3 = -6(x + 4) Reorder the terms: -2(5 + x) + -3 = -6(x + 4) (5 * -2 + x * -2) + -3 = -6(x + 4) (-10 + -2x) + -3 = -6(x + 4) Reorder the terms: -10 + -3 + -2x = -6(x + 4) Combine like terms: -10 + -3 = -13 -13 + -2x = -6(x + 4) Reorder the terms: -13 + -2x = -6(4 + x) -13 + -2x = (4 * -6 + x * -6) -13 + -2x = (-24 + -6x) Solving -13 + -2x = -24 + -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. -13 + -2x + 6x = -24 + -6x + 6x Combine like terms: -2x + 6x = 4x -13 + 4x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 4x = -24 + 0 -13 + 4x = -24 Add '13' to each side of the equation. -13 + 13 + 4x = -24 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = -24 + 13 4x = -24 + 13 Combine like terms: -24 + 13 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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