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Simplifying 8(x + 4) + -10 + -3(x + -2) + 4 = 0 Reorder the terms: 8(4 + x) + -10 + -3(x + -2) + 4 = 0 (4 * 8 + x * 8) + -10 + -3(x + -2) + 4 = 0 (32 + 8x) + -10 + -3(x + -2) + 4 = 0 Reorder the terms: 32 + 8x + -10 + -3(-2 + x) + 4 = 0 32 + 8x + -10 + (-2 * -3 + x * -3) + 4 = 0 32 + 8x + -10 + (6 + -3x) + 4 = 0 Reorder the terms: 32 + -10 + 6 + 4 + 8x + -3x = 0 Combine like terms: 32 + -10 = 22 22 + 6 + 4 + 8x + -3x = 0 Combine like terms: 22 + 6 = 28 28 + 4 + 8x + -3x = 0 Combine like terms: 28 + 4 = 32 32 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x 32 + 5x = 0 Solving 32 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4
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