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Simplifying -6(x + 4) + 7 = 8x + 2(x + 5) Reorder the terms: -6(4 + x) + 7 = 8x + 2(x + 5) (4 * -6 + x * -6) + 7 = 8x + 2(x + 5) (-24 + -6x) + 7 = 8x + 2(x + 5) Reorder the terms: -24 + 7 + -6x = 8x + 2(x + 5) Combine like terms: -24 + 7 = -17 -17 + -6x = 8x + 2(x + 5) Reorder the terms: -17 + -6x = 8x + 2(5 + x) -17 + -6x = 8x + (5 * 2 + x * 2) -17 + -6x = 8x + (10 + 2x) Reorder the terms: -17 + -6x = 10 + 8x + 2x Combine like terms: 8x + 2x = 10x -17 + -6x = 10 + 10x Solving -17 + -6x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + -6x + -10x = 10 + 10x + -10x Combine like terms: -6x + -10x = -16x -17 + -16x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -16x = 10 + 0 -17 + -16x = 10 Add '17' to each side of the equation. -17 + 17 + -16x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -16x = 10 + 17 -16x = 10 + 17 Combine like terms: 10 + 17 = 27 -16x = 27 Divide each side by '-16'. x = -1.6875 Simplifying x = -1.6875
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