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Simplifying 6(x + -6) + 14 = 4(x + -5) Reorder the terms: 6(-6 + x) + 14 = 4(x + -5) (-6 * 6 + x * 6) + 14 = 4(x + -5) (-36 + 6x) + 14 = 4(x + -5) Reorder the terms: -36 + 14 + 6x = 4(x + -5) Combine like terms: -36 + 14 = -22 -22 + 6x = 4(x + -5) Reorder the terms: -22 + 6x = 4(-5 + x) -22 + 6x = (-5 * 4 + x * 4) -22 + 6x = (-20 + 4x) Solving -22 + 6x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -22 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 2x = -20 + 0 -22 + 2x = -20 Add '22' to each side of the equation. -22 + 22 + 2x = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -20 + 22 2x = -20 + 22 Combine like terms: -20 + 22 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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