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Simplifying -2(x + 4) + -6 = -3(2x + 8) + -10 Reorder the terms: -2(4 + x) + -6 = -3(2x + 8) + -10 (4 * -2 + x * -2) + -6 = -3(2x + 8) + -10 (-8 + -2x) + -6 = -3(2x + 8) + -10 Reorder the terms: -8 + -6 + -2x = -3(2x + 8) + -10 Combine like terms: -8 + -6 = -14 -14 + -2x = -3(2x + 8) + -10 Reorder the terms: -14 + -2x = -3(8 + 2x) + -10 -14 + -2x = (8 * -3 + 2x * -3) + -10 -14 + -2x = (-24 + -6x) + -10 Reorder the terms: -14 + -2x = -24 + -10 + -6x Combine like terms: -24 + -10 = -34 -14 + -2x = -34 + -6x Solving -14 + -2x = -34 + -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. -14 + -2x + 6x = -34 + -6x + 6x Combine like terms: -2x + 6x = 4x -14 + 4x = -34 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 4x = -34 + 0 -14 + 4x = -34 Add '14' to each side of the equation. -14 + 14 + 4x = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -34 + 14 4x = -34 + 14 Combine like terms: -34 + 14 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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