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Simplifying 3(1 + -10x) = 7x + 3(1 + -8x) (1 * 3 + -10x * 3) = 7x + 3(1 + -8x) (3 + -30x) = 7x + 3(1 + -8x) 3 + -30x = 7x + (1 * 3 + -8x * 3) 3 + -30x = 7x + (3 + -24x) Reorder the terms: 3 + -30x = 3 + 7x + -24x Combine like terms: 7x + -24x = -17x 3 + -30x = 3 + -17x Add '-3' to each side of the equation. 3 + -3 + -30x = 3 + -3 + -17x Combine like terms: 3 + -3 = 0 0 + -30x = 3 + -3 + -17x -30x = 3 + -3 + -17x Combine like terms: 3 + -3 = 0 -30x = 0 + -17x -30x = -17x Solving -30x = -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -30x + 17x = -17x + 17x Combine like terms: -30x + 17x = -13x -13x = -17x + 17x Combine like terms: -17x + 17x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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