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Simplifying 8(3x + 4) + 6x = 4(x + -8) + 4x Reorder the terms: 8(4 + 3x) + 6x = 4(x + -8) + 4x (4 * 8 + 3x * 8) + 6x = 4(x + -8) + 4x (32 + 24x) + 6x = 4(x + -8) + 4x Combine like terms: 24x + 6x = 30x 32 + 30x = 4(x + -8) + 4x Reorder the terms: 32 + 30x = 4(-8 + x) + 4x 32 + 30x = (-8 * 4 + x * 4) + 4x 32 + 30x = (-32 + 4x) + 4x Combine like terms: 4x + 4x = 8x 32 + 30x = -32 + 8x Solving 32 + 30x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + 30x + -8x = -32 + 8x + -8x Combine like terms: 30x + -8x = 22x 32 + 22x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + 22x = -32 + 0 32 + 22x = -32 Add '-32' to each side of the equation. 32 + -32 + 22x = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 22x = -32 + -32 22x = -32 + -32 Combine like terms: -32 + -32 = -64 22x = -64 Divide each side by '22'. x = -2.909090909 Simplifying x = -2.909090909
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