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Simplifying -6x + -8(x + 3) = 3x + 7(-8 + -3x) Reorder the terms: -6x + -8(3 + x) = 3x + 7(-8 + -3x) -6x + (3 * -8 + x * -8) = 3x + 7(-8 + -3x) -6x + (-24 + -8x) = 3x + 7(-8 + -3x) Reorder the terms: -24 + -6x + -8x = 3x + 7(-8 + -3x) Combine like terms: -6x + -8x = -14x -24 + -14x = 3x + 7(-8 + -3x) -24 + -14x = 3x + (-8 * 7 + -3x * 7) -24 + -14x = 3x + (-56 + -21x) Reorder the terms: -24 + -14x = -56 + 3x + -21x Combine like terms: 3x + -21x = -18x -24 + -14x = -56 + -18x Solving -24 + -14x = -56 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -24 + -14x + 18x = -56 + -18x + 18x Combine like terms: -14x + 18x = 4x -24 + 4x = -56 + -18x + 18x Combine like terms: -18x + 18x = 0 -24 + 4x = -56 + 0 -24 + 4x = -56 Add '24' to each side of the equation. -24 + 24 + 4x = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -56 + 24 4x = -56 + 24 Combine like terms: -56 + 24 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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