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Simplifying 8 + 3(x + -7) = 2 + -7(x + -7) Reorder the terms: 8 + 3(-7 + x) = 2 + -7(x + -7) 8 + (-7 * 3 + x * 3) = 2 + -7(x + -7) 8 + (-21 + 3x) = 2 + -7(x + -7) Combine like terms: 8 + -21 = -13 -13 + 3x = 2 + -7(x + -7) Reorder the terms: -13 + 3x = 2 + -7(-7 + x) -13 + 3x = 2 + (-7 * -7 + x * -7) -13 + 3x = 2 + (49 + -7x) Combine like terms: 2 + 49 = 51 -13 + 3x = 51 + -7x Solving -13 + 3x = 51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -13 + 3x + 7x = 51 + -7x + 7x Combine like terms: 3x + 7x = 10x -13 + 10x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 10x = 51 + 0 -13 + 10x = 51 Add '13' to each side of the equation. -13 + 13 + 10x = 51 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 51 + 13 10x = 51 + 13 Combine like terms: 51 + 13 = 64 10x = 64 Divide each side by '10'. x = 6.4 Simplifying x = 6.4
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