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Simplifying 10x + 6 = 5x + 2 + (3 + -1)[(7x + -4) + -1(5x + 2)] Reorder the terms: 6 + 10x = 5x + 2 + (3 + -1)[(7x + -4) + -1(5x + 2)] Combine like terms: 3 + -1 = 2 6 + 10x = 5x + 2 + (2)[(7x + -4) + -1(5x + 2)] Reorder the terms: 6 + 10x = 5x + 2 + 2[(-4 + 7x) + -1(5x + 2)] Remove parenthesis around (-4 + 7x) 6 + 10x = 5x + 2 + 2[-4 + 7x + -1(5x + 2)] Reorder the terms: 6 + 10x = 5x + 2 + 2[-4 + 7x + -1(2 + 5x)] 6 + 10x = 5x + 2 + 2[-4 + 7x + (2 * -1 + 5x * -1)] 6 + 10x = 5x + 2 + 2[-4 + 7x + (-2 + -5x)] Reorder the terms: 6 + 10x = 5x + 2 + 2[-4 + -2 + 7x + -5x] Combine like terms: -4 + -2 = -6 6 + 10x = 5x + 2 + 2[-6 + 7x + -5x] Combine like terms: 7x + -5x = 2x 6 + 10x = 5x + 2 + 2[-6 + 2x] 6 + 10x = 5x + 2 + [-6 * 2 + 2x * 2] 6 + 10x = 5x + 2 + [-12 + 4x] Reorder the terms: 6 + 10x = 2 + -12 + 5x + 4x Combine like terms: 2 + -12 = -10 6 + 10x = -10 + 5x + 4x Combine like terms: 5x + 4x = 9x 6 + 10x = -10 + 9x Solving 6 + 10x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 10x + -9x = -10 + 9x + -9x Combine like terms: 10x + -9x = 1x 6 + 1x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 1x = -10 + 0 6 + 1x = -10 Add '-6' to each side of the equation. 6 + -6 + 1x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -10 + -6 1x = -10 + -6 Combine like terms: -10 + -6 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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