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Simplifying 6(-4 + -8x) + -3x = -7(7x + 6) (-4 * 6 + -8x * 6) + -3x = -7(7x + 6) (-24 + -48x) + -3x = -7(7x + 6) Combine like terms: -48x + -3x = -51x -24 + -51x = -7(7x + 6) Reorder the terms: -24 + -51x = -7(6 + 7x) -24 + -51x = (6 * -7 + 7x * -7) -24 + -51x = (-42 + -49x) Solving -24 + -51x = -42 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -24 + -51x + 49x = -42 + -49x + 49x Combine like terms: -51x + 49x = -2x -24 + -2x = -42 + -49x + 49x Combine like terms: -49x + 49x = 0 -24 + -2x = -42 + 0 -24 + -2x = -42 Add '24' to each side of the equation. -24 + 24 + -2x = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -42 + 24 -2x = -42 + 24 Combine like terms: -42 + 24 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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