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Simplifying -1[-1(-7x)] + 2(5x + 4) = 2(-3x + 2) + 6 Remove parenthesis around (-7x) -1[-1 * -7x] + 2(5x + 4) = 2(-3x + 2) + 6 Multiply -1 * -7 -1[7x] + 2(5x + 4) = 2(-3x + 2) + 6 Remove brackets around [7x] -1 * 7x + 2(5x + 4) = 2(-3x + 2) + 6 Multiply -1 * 7 -7x + 2(5x + 4) = 2(-3x + 2) + 6 Reorder the terms: -7x + 2(4 + 5x) = 2(-3x + 2) + 6 -7x + (4 * 2 + 5x * 2) = 2(-3x + 2) + 6 -7x + (8 + 10x) = 2(-3x + 2) + 6 Reorder the terms: 8 + -7x + 10x = 2(-3x + 2) + 6 Combine like terms: -7x + 10x = 3x 8 + 3x = 2(-3x + 2) + 6 Reorder the terms: 8 + 3x = 2(2 + -3x) + 6 8 + 3x = (2 * 2 + -3x * 2) + 6 8 + 3x = (4 + -6x) + 6 Reorder the terms: 8 + 3x = 4 + 6 + -6x Combine like terms: 4 + 6 = 10 8 + 3x = 10 + -6x Solving 8 + 3x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 3x + 6x = 10 + -6x + 6x Combine like terms: 3x + 6x = 9x 8 + 9x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 9x = 10 + 0 8 + 9x = 10 Add '-8' to each side of the equation. 8 + -8 + 9x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 10 + -8 9x = 10 + -8 Combine like terms: 10 + -8 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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