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Simplifying 6(x + -6) + 4 = 8(x + 2) + -12 Reorder the terms: 6(-6 + x) + 4 = 8(x + 2) + -12 (-6 * 6 + x * 6) + 4 = 8(x + 2) + -12 (-36 + 6x) + 4 = 8(x + 2) + -12 Reorder the terms: -36 + 4 + 6x = 8(x + 2) + -12 Combine like terms: -36 + 4 = -32 -32 + 6x = 8(x + 2) + -12 Reorder the terms: -32 + 6x = 8(2 + x) + -12 -32 + 6x = (2 * 8 + x * 8) + -12 -32 + 6x = (16 + 8x) + -12 Reorder the terms: -32 + 6x = 16 + -12 + 8x Combine like terms: 16 + -12 = 4 -32 + 6x = 4 + 8x Solving -32 + 6x = 4 + 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 + 6x + -8x = 4 + 8x + -8x Combine like terms: 6x + -8x = -2x -32 + -2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -2x = 4 + 0 -32 + -2x = 4 Add '32' to each side of the equation. -32 + 32 + -2x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 4 + 32 -2x = 4 + 32 Combine like terms: 4 + 32 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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