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Simplifying 22 + -6(x + -7) + -6 = 9 + -1(2x) + 7 + 3(4 + -2x) Reorder the terms: 22 + -6(-7 + x) + -6 = 9 + -1(2x) + 7 + 3(4 + -2x) 22 + (-7 * -6 + x * -6) + -6 = 9 + -1(2x) + 7 + 3(4 + -2x) 22 + (42 + -6x) + -6 = 9 + -1(2x) + 7 + 3(4 + -2x) Reorder the terms: 22 + 42 + -6 + -6x = 9 + -1(2x) + 7 + 3(4 + -2x) Combine like terms: 22 + 42 = 64 64 + -6 + -6x = 9 + -1(2x) + 7 + 3(4 + -2x) Combine like terms: 64 + -6 = 58 58 + -6x = 9 + -1(2x) + 7 + 3(4 + -2x) Remove parenthesis around (2x) 58 + -6x = 9 + -1 * 2x + 7 + 3(4 + -2x) Multiply -1 * 2 58 + -6x = 9 + -2x + 7 + 3(4 + -2x) 58 + -6x = 9 + -2x + 7 + (4 * 3 + -2x * 3) 58 + -6x = 9 + -2x + 7 + (12 + -6x) Reorder the terms: 58 + -6x = 9 + 7 + 12 + -2x + -6x Combine like terms: 9 + 7 = 16 58 + -6x = 16 + 12 + -2x + -6x Combine like terms: 16 + 12 = 28 58 + -6x = 28 + -2x + -6x Combine like terms: -2x + -6x = -8x 58 + -6x = 28 + -8x Solving 58 + -6x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 58 + -6x + 8x = 28 + -8x + 8x Combine like terms: -6x + 8x = 2x 58 + 2x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 58 + 2x = 28 + 0 58 + 2x = 28 Add '-58' to each side of the equation. 58 + -58 + 2x = 28 + -58 Combine like terms: 58 + -58 = 0 0 + 2x = 28 + -58 2x = 28 + -58 Combine like terms: 28 + -58 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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