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Simplifying 6(x + -6) + 20 = 2(x + -6) Reorder the terms: 6(-6 + x) + 20 = 2(x + -6) (-6 * 6 + x * 6) + 20 = 2(x + -6) (-36 + 6x) + 20 = 2(x + -6) Reorder the terms: -36 + 20 + 6x = 2(x + -6) Combine like terms: -36 + 20 = -16 -16 + 6x = 2(x + -6) Reorder the terms: -16 + 6x = 2(-6 + x) -16 + 6x = (-6 * 2 + x * 2) -16 + 6x = (-12 + 2x) Solving -16 + 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. -16 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -16 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 4x = -12 + 0 -16 + 4x = -12 Add '16' to each side of the equation. -16 + 16 + 4x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -12 + 16 4x = -12 + 16 Combine like terms: -12 + 16 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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