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Simplifying 6(x + -6) + 4 = 8(x + 12) + -12 Reorder the terms: 6(-6 + x) + 4 = 8(x + 12) + -12 (-6 * 6 + x * 6) + 4 = 8(x + 12) + -12 (-36 + 6x) + 4 = 8(x + 12) + -12 Reorder the terms: -36 + 4 + 6x = 8(x + 12) + -12 Combine like terms: -36 + 4 = -32 -32 + 6x = 8(x + 12) + -12 Reorder the terms: -32 + 6x = 8(12 + x) + -12 -32 + 6x = (12 * 8 + x * 8) + -12 -32 + 6x = (96 + 8x) + -12 Reorder the terms: -32 + 6x = 96 + -12 + 8x Combine like terms: 96 + -12 = 84 -32 + 6x = 84 + 8x Solving -32 + 6x = 84 + 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 = 84 + 8x + -8x Combine like terms: 6x + -8x = -2x -32 + -2x = 84 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -2x = 84 + 0 -32 + -2x = 84 Add '32' to each side of the equation. -32 + 32 + -2x = 84 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 84 + 32 -2x = 84 + 32 Combine like terms: 84 + 32 = 116 -2x = 116 Divide each side by '-2'. x = -58 Simplifying x = -58
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