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Simplifying 4(x + -7) + 14 = 2(x + -5) Reorder the terms: 4(-7 + x) + 14 = 2(x + -5) (-7 * 4 + x * 4) + 14 = 2(x + -5) (-28 + 4x) + 14 = 2(x + -5) Reorder the terms: -28 + 14 + 4x = 2(x + -5) Combine like terms: -28 + 14 = -14 -14 + 4x = 2(x + -5) Reorder the terms: -14 + 4x = 2(-5 + x) -14 + 4x = (-5 * 2 + x * 2) -14 + 4x = (-10 + 2x) Solving -14 + 4x = -10 + 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 = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x -14 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 2x = -10 + 0 -14 + 2x = -10 Add '14' to each side of the equation. -14 + 14 + 2x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -10 + 14 2x = -10 + 14 Combine like terms: -10 + 14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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