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Simplifying 6 + 2(2x + -1) + -8 = -4(x + -5) + -7 Reorder the terms: 6 + 2(-1 + 2x) + -8 = -4(x + -5) + -7 6 + (-1 * 2 + 2x * 2) + -8 = -4(x + -5) + -7 6 + (-2 + 4x) + -8 = -4(x + -5) + -7 Reorder the terms: 6 + -2 + -8 + 4x = -4(x + -5) + -7 Combine like terms: 6 + -2 = 4 4 + -8 + 4x = -4(x + -5) + -7 Combine like terms: 4 + -8 = -4 -4 + 4x = -4(x + -5) + -7 Reorder the terms: -4 + 4x = -4(-5 + x) + -7 -4 + 4x = (-5 * -4 + x * -4) + -7 -4 + 4x = (20 + -4x) + -7 Reorder the terms: -4 + 4x = 20 + -7 + -4x Combine like terms: 20 + -7 = 13 -4 + 4x = 13 + -4x Solving -4 + 4x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 4x + 4x = 13 + -4x + 4x Combine like terms: 4x + 4x = 8x -4 + 8x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 8x = 13 + 0 -4 + 8x = 13 Add '4' to each side of the equation. -4 + 4 + 8x = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 13 + 4 8x = 13 + 4 Combine like terms: 13 + 4 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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