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Simplifying 8(x + -1) + 2x = 7 + 3(5 + -2x) Reorder the terms: 8(-1 + x) + 2x = 7 + 3(5 + -2x) (-1 * 8 + x * 8) + 2x = 7 + 3(5 + -2x) (-8 + 8x) + 2x = 7 + 3(5 + -2x) Combine like terms: 8x + 2x = 10x -8 + 10x = 7 + 3(5 + -2x) -8 + 10x = 7 + (5 * 3 + -2x * 3) -8 + 10x = 7 + (15 + -6x) Combine like terms: 7 + 15 = 22 -8 + 10x = 22 + -6x Solving -8 + 10x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 10x + 6x = 22 + -6x + 6x Combine like terms: 10x + 6x = 16x -8 + 16x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 16x = 22 + 0 -8 + 16x = 22 Add '8' to each side of the equation. -8 + 8 + 16x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 22 + 8 16x = 22 + 8 Combine like terms: 22 + 8 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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