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Simplifying 4(x + -5) = 2(3x + -7) Reorder the terms: 4(-5 + x) = 2(3x + -7) (-5 * 4 + x * 4) = 2(3x + -7) (-20 + 4x) = 2(3x + -7) Reorder the terms: -20 + 4x = 2(-7 + 3x) -20 + 4x = (-7 * 2 + 3x * 2) -20 + 4x = (-14 + 6x) Solving -20 + 4x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = -14 + 0 -20 + -2x = -14 Add '20' to each side of the equation. -20 + 20 + -2x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -14 + 20 -2x = -14 + 20 Combine like terms: -14 + 20 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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