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Simplifying 6(x + -4) + 7 = -2(x + -8) Reorder the terms: 6(-4 + x) + 7 = -2(x + -8) (-4 * 6 + x * 6) + 7 = -2(x + -8) (-24 + 6x) + 7 = -2(x + -8) Reorder the terms: -24 + 7 + 6x = -2(x + -8) Combine like terms: -24 + 7 = -17 -17 + 6x = -2(x + -8) Reorder the terms: -17 + 6x = -2(-8 + x) -17 + 6x = (-8 * -2 + x * -2) -17 + 6x = (16 + -2x) Solving -17 + 6x = 16 + -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. -17 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x -17 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 8x = 16 + 0 -17 + 8x = 16 Add '17' to each side of the equation. -17 + 17 + 8x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 16 + 17 8x = 16 + 17 Combine like terms: 16 + 17 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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