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Simplifying 10 + -7x = 6x + 10(1 + -3x) 10 + -7x = 6x + (1 * 10 + -3x * 10) 10 + -7x = 6x + (10 + -30x) Reorder the terms: 10 + -7x = 10 + 6x + -30x Combine like terms: 6x + -30x = -24x 10 + -7x = 10 + -24x Add '-10' to each side of the equation. 10 + -10 + -7x = 10 + -10 + -24x Combine like terms: 10 + -10 = 0 0 + -7x = 10 + -10 + -24x -7x = 10 + -10 + -24x Combine like terms: 10 + -10 = 0 -7x = 0 + -24x -7x = -24x Solving -7x = -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. -7x + 24x = -24x + 24x Combine like terms: -7x + 24x = 17x 17x = -24x + 24x Combine like terms: -24x + 24x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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