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Simplifying -35 + 7x = 6(4x + -3) Reorder the terms: -35 + 7x = 6(-3 + 4x) -35 + 7x = (-3 * 6 + 4x * 6) -35 + 7x = (-18 + 24x) Solving -35 + 7x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -35 + 7x + -24x = -18 + 24x + -24x Combine like terms: 7x + -24x = -17x -35 + -17x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 -35 + -17x = -18 + 0 -35 + -17x = -18 Add '35' to each side of the equation. -35 + 35 + -17x = -18 + 35 Combine like terms: -35 + 35 = 0 0 + -17x = -18 + 35 -17x = -18 + 35 Combine like terms: -18 + 35 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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