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Simplifying 5(6 + -2x) + -2 = 7(5 + -1x) + -4x + -7 (6 * 5 + -2x * 5) + -2 = 7(5 + -1x) + -4x + -7 (30 + -10x) + -2 = 7(5 + -1x) + -4x + -7 Reorder the terms: 30 + -2 + -10x = 7(5 + -1x) + -4x + -7 Combine like terms: 30 + -2 = 28 28 + -10x = 7(5 + -1x) + -4x + -7 28 + -10x = (5 * 7 + -1x * 7) + -4x + -7 28 + -10x = (35 + -7x) + -4x + -7 Reorder the terms: 28 + -10x = 35 + -7 + -7x + -4x Combine like terms: 35 + -7 = 28 28 + -10x = 28 + -7x + -4x Combine like terms: -7x + -4x = -11x 28 + -10x = 28 + -11x Add '-28' to each side of the equation. 28 + -28 + -10x = 28 + -28 + -11x Combine like terms: 28 + -28 = 0 0 + -10x = 28 + -28 + -11x -10x = 28 + -28 + -11x Combine like terms: 28 + -28 = 0 -10x = 0 + -11x -10x = -11x Solving -10x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -10x + 11x = -11x + 11x Combine like terms: -10x + 11x = 1x 1x = -11x + 11x Combine like terms: -11x + 11x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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