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Simplifying 5(x + -6) + 14 = (x + -4) Reorder the terms: 5(-6 + x) + 14 = (x + -4) (-6 * 5 + x * 5) + 14 = (x + -4) (-30 + 5x) + 14 = (x + -4) Reorder the terms: -30 + 14 + 5x = (x + -4) Combine like terms: -30 + 14 = -16 -16 + 5x = (x + -4) Reorder the terms: -16 + 5x = (-4 + x) Remove parenthesis around (-4 + x) -16 + 5x = -4 + x Solving -16 + 5x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 5x + -1x = -4 + x + -1x Combine like terms: 5x + -1x = 4x -16 + 4x = -4 + x + -1x Combine like terms: x + -1x = 0 -16 + 4x = -4 + 0 -16 + 4x = -4 Add '16' to each side of the equation. -16 + 16 + 4x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -4 + 16 4x = -4 + 16 Combine like terms: -4 + 16 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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