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Simplifying 8(x + -4) = 6x + -6 + 4x Reorder the terms: 8(-4 + x) = 6x + -6 + 4x (-4 * 8 + x * 8) = 6x + -6 + 4x (-32 + 8x) = 6x + -6 + 4x Reorder the terms: -32 + 8x = -6 + 6x + 4x Combine like terms: 6x + 4x = 10x -32 + 8x = -6 + 10x Solving -32 + 8x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 8x + -10x = -6 + 10x + -10x Combine like terms: 8x + -10x = -2x -32 + -2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + -2x = -6 + 0 -32 + -2x = -6 Add '32' to each side of the equation. -32 + 32 + -2x = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -6 + 32 -2x = -6 + 32 Combine like terms: -6 + 32 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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