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Simplifying 2 + 4(x + -1) = 5 + -8(x + -7) Reorder the terms: 2 + 4(-1 + x) = 5 + -8(x + -7) 2 + (-1 * 4 + x * 4) = 5 + -8(x + -7) 2 + (-4 + 4x) = 5 + -8(x + -7) Combine like terms: 2 + -4 = -2 -2 + 4x = 5 + -8(x + -7) Reorder the terms: -2 + 4x = 5 + -8(-7 + x) -2 + 4x = 5 + (-7 * -8 + x * -8) -2 + 4x = 5 + (56 + -8x) Combine like terms: 5 + 56 = 61 -2 + 4x = 61 + -8x Solving -2 + 4x = 61 + -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. -2 + 4x + 8x = 61 + -8x + 8x Combine like terms: 4x + 8x = 12x -2 + 12x = 61 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 12x = 61 + 0 -2 + 12x = 61 Add '2' to each side of the equation. -2 + 2 + 12x = 61 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 61 + 2 12x = 61 + 2 Combine like terms: 61 + 2 = 63 12x = 63 Divide each side by '12'. x = 5.25 Simplifying x = 5.25
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