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Simplifying 4(x + -5) + 6 = 2(x + -6) Reorder the terms: 4(-5 + x) + 6 = 2(x + -6) (-5 * 4 + x * 4) + 6 = 2(x + -6) (-20 + 4x) + 6 = 2(x + -6) Reorder the terms: -20 + 6 + 4x = 2(x + -6) Combine like terms: -20 + 6 = -14 -14 + 4x = 2(x + -6) Reorder the terms: -14 + 4x = 2(-6 + x) -14 + 4x = (-6 * 2 + x * 2) -14 + 4x = (-12 + 2x) Solving -14 + 4x = -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. -14 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x -14 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 2x = -12 + 0 -14 + 2x = -12 Add '14' to each side of the equation. -14 + 14 + 2x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -12 + 14 2x = -12 + 14 Combine like terms: -12 + 14 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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