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Simplifying 6(x + -8) + 16 = 2(x + -6) Reorder the terms: 6(-8 + x) + 16 = 2(x + -6) (-8 * 6 + x * 6) + 16 = 2(x + -6) (-48 + 6x) + 16 = 2(x + -6) Reorder the terms: -48 + 16 + 6x = 2(x + -6) Combine like terms: -48 + 16 = -32 -32 + 6x = 2(x + -6) Reorder the terms: -32 + 6x = 2(-6 + x) -32 + 6x = (-6 * 2 + x * 2) -32 + 6x = (-12 + 2x) Solving -32 + 6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -32 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 4x = -12 + 0 -32 + 4x = -12 Add '32' to each side of the equation. -32 + 32 + 4x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -12 + 32 4x = -12 + 32 Combine like terms: -12 + 32 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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