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Simplifying 6(x + -7) + 22 = 2(x + -6) Reorder the terms: 6(-7 + x) + 22 = 2(x + -6) (-7 * 6 + x * 6) + 22 = 2(x + -6) (-42 + 6x) + 22 = 2(x + -6) Reorder the terms: -42 + 22 + 6x = 2(x + -6) Combine like terms: -42 + 22 = -20 -20 + 6x = 2(x + -6) Reorder the terms: -20 + 6x = 2(-6 + x) -20 + 6x = (-6 * 2 + x * 2) -20 + 6x = (-12 + 2x) Solving -20 + 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. -20 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = -12 + 0 -20 + 4x = -12 Add '20' to each side of the equation. -20 + 20 + 4x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -12 + 20 4x = -12 + 20 Combine like terms: -12 + 20 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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