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Simplifying 8(x + 1) + -2(x + 5) = 3x + 7 Reorder the terms: 8(1 + x) + -2(x + 5) = 3x + 7 (1 * 8 + x * 8) + -2(x + 5) = 3x + 7 (8 + 8x) + -2(x + 5) = 3x + 7 Reorder the terms: 8 + 8x + -2(5 + x) = 3x + 7 8 + 8x + (5 * -2 + x * -2) = 3x + 7 8 + 8x + (-10 + -2x) = 3x + 7 Reorder the terms: 8 + -10 + 8x + -2x = 3x + 7 Combine like terms: 8 + -10 = -2 -2 + 8x + -2x = 3x + 7 Combine like terms: 8x + -2x = 6x -2 + 6x = 3x + 7 Reorder the terms: -2 + 6x = 7 + 3x Solving -2 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = 7 + 0 -2 + 3x = 7 Add '2' to each side of the equation. -2 + 2 + 3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 7 + 2 3x = 7 + 2 Combine like terms: 7 + 2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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