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Simplifying -8(3x + 4) + 6x = -1(35 + -8x) + 3 Reorder the terms: -8(4 + 3x) + 6x = -1(35 + -8x) + 3 (4 * -8 + 3x * -8) + 6x = -1(35 + -8x) + 3 (-32 + -24x) + 6x = -1(35 + -8x) + 3 Combine like terms: -24x + 6x = -18x -32 + -18x = -1(35 + -8x) + 3 -32 + -18x = (35 * -1 + -8x * -1) + 3 -32 + -18x = (-35 + 8x) + 3 Reorder the terms: -32 + -18x = -35 + 3 + 8x Combine like terms: -35 + 3 = -32 -32 + -18x = -32 + 8x Add '32' to each side of the equation. -32 + 32 + -18x = -32 + 32 + 8x Combine like terms: -32 + 32 = 0 0 + -18x = -32 + 32 + 8x -18x = -32 + 32 + 8x Combine like terms: -32 + 32 = 0 -18x = 0 + 8x -18x = 8x Solving -18x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18x + -8x = 8x + -8x Combine like terms: -18x + -8x = -26x -26x = 8x + -8x Combine like terms: 8x + -8x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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