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Simplifying 9 + 2(x + 1) + -42 = 6x + -8(x + 7) Reorder the terms: 9 + 2(1 + x) + -42 = 6x + -8(x + 7) 9 + (1 * 2 + x * 2) + -42 = 6x + -8(x + 7) 9 + (2 + 2x) + -42 = 6x + -8(x + 7) Reorder the terms: 9 + 2 + -42 + 2x = 6x + -8(x + 7) Combine like terms: 9 + 2 = 11 11 + -42 + 2x = 6x + -8(x + 7) Combine like terms: 11 + -42 = -31 -31 + 2x = 6x + -8(x + 7) Reorder the terms: -31 + 2x = 6x + -8(7 + x) -31 + 2x = 6x + (7 * -8 + x * -8) -31 + 2x = 6x + (-56 + -8x) Reorder the terms: -31 + 2x = -56 + 6x + -8x Combine like terms: 6x + -8x = -2x -31 + 2x = -56 + -2x Solving -31 + 2x = -56 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -31 + 2x + 2x = -56 + -2x + 2x Combine like terms: 2x + 2x = 4x -31 + 4x = -56 + -2x + 2x Combine like terms: -2x + 2x = 0 -31 + 4x = -56 + 0 -31 + 4x = -56 Add '31' to each side of the equation. -31 + 31 + 4x = -56 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = -56 + 31 4x = -56 + 31 Combine like terms: -56 + 31 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25
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