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Simplifying 8(x + 4) + -2 = 3(x + -2) + 7 Reorder the terms: 8(4 + x) + -2 = 3(x + -2) + 7 (4 * 8 + x * 8) + -2 = 3(x + -2) + 7 (32 + 8x) + -2 = 3(x + -2) + 7 Reorder the terms: 32 + -2 + 8x = 3(x + -2) + 7 Combine like terms: 32 + -2 = 30 30 + 8x = 3(x + -2) + 7 Reorder the terms: 30 + 8x = 3(-2 + x) + 7 30 + 8x = (-2 * 3 + x * 3) + 7 30 + 8x = (-6 + 3x) + 7 Reorder the terms: 30 + 8x = -6 + 7 + 3x Combine like terms: -6 + 7 = 1 30 + 8x = 1 + 3x Solving 30 + 8x = 1 + 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. 30 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x 30 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 5x = 1 + 0 30 + 5x = 1 Add '-30' to each side of the equation. 30 + -30 + 5x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 1 + -30 5x = 1 + -30 Combine like terms: 1 + -30 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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