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Simplifying 2(x + -7) = 4(x + -4) Reorder the terms: 2(-7 + x) = 4(x + -4) (-7 * 2 + x * 2) = 4(x + -4) (-14 + 2x) = 4(x + -4) Reorder the terms: -14 + 2x = 4(-4 + x) -14 + 2x = (-4 * 4 + x * 4) -14 + 2x = (-16 + 4x) Solving -14 + 2x = -16 + 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. -14 + 2x + -4x = -16 + 4x + -4x Combine like terms: 2x + -4x = -2x -14 + -2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -2x = -16 + 0 -14 + -2x = -16 Add '14' to each side of the equation. -14 + 14 + -2x = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -16 + 14 -2x = -16 + 14 Combine like terms: -16 + 14 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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