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Simplifying 6x + -4 = 7(x + -8) Reorder the terms: -4 + 6x = 7(x + -8) Reorder the terms: -4 + 6x = 7(-8 + x) -4 + 6x = (-8 * 7 + x * 7) -4 + 6x = (-56 + 7x) Solving -4 + 6x = -56 + 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. -4 + 6x + -7x = -56 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -56 + 0 -4 + -1x = -56 Add '4' to each side of the equation. -4 + 4 + -1x = -56 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -56 + 4 -1x = -56 + 4 Combine like terms: -56 + 4 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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