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Simplifying 6(x + -6) + 8 = 8(x + 2) * 8 Reorder the terms: 6(-6 + x) + 8 = 8(x + 2) * 8 (-6 * 6 + x * 6) + 8 = 8(x + 2) * 8 (-36 + 6x) + 8 = 8(x + 2) * 8 Reorder the terms: -36 + 8 + 6x = 8(x + 2) * 8 Combine like terms: -36 + 8 = -28 -28 + 6x = 8(x + 2) * 8 Reorder the terms: -28 + 6x = 8(2 + x) * 8 Reorder the terms for easier multiplication: -28 + 6x = 8 * 8(2 + x) Multiply 8 * 8 -28 + 6x = 64(2 + x) -28 + 6x = (2 * 64 + x * 64) -28 + 6x = (128 + 64x) Solving -28 + 6x = 128 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -28 + 6x + -64x = 128 + 64x + -64x Combine like terms: 6x + -64x = -58x -28 + -58x = 128 + 64x + -64x Combine like terms: 64x + -64x = 0 -28 + -58x = 128 + 0 -28 + -58x = 128 Add '28' to each side of the equation. -28 + 28 + -58x = 128 + 28 Combine like terms: -28 + 28 = 0 0 + -58x = 128 + 28 -58x = 128 + 28 Combine like terms: 128 + 28 = 156 -58x = 156 Divide each side by '-58'. x = -2.689655172 Simplifying x = -2.689655172
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