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Simplifying 5x + -7 = 4(x + -8) + -6 Reorder the terms: -7 + 5x = 4(x + -8) + -6 Reorder the terms: -7 + 5x = 4(-8 + x) + -6 -7 + 5x = (-8 * 4 + x * 4) + -6 -7 + 5x = (-32 + 4x) + -6 Reorder the terms: -7 + 5x = -32 + -6 + 4x Combine like terms: -32 + -6 = -38 -7 + 5x = -38 + 4x Solving -7 + 5x = -38 + 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. -7 + 5x + -4x = -38 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -38 + 0 -7 + 1x = -38 Add '7' to each side of the equation. -7 + 7 + 1x = -38 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -38 + 7 1x = -38 + 7 Combine like terms: -38 + 7 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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