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Simplifying 6(x + -7) + 16 = 4(x + -5) Reorder the terms: 6(-7 + x) + 16 = 4(x + -5) (-7 * 6 + x * 6) + 16 = 4(x + -5) (-42 + 6x) + 16 = 4(x + -5) Reorder the terms: -42 + 16 + 6x = 4(x + -5) Combine like terms: -42 + 16 = -26 -26 + 6x = 4(x + -5) Reorder the terms: -26 + 6x = 4(-5 + x) -26 + 6x = (-5 * 4 + x * 4) -26 + 6x = (-20 + 4x) Solving -26 + 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. -26 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -26 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 2x = -20 + 0 -26 + 2x = -20 Add '26' to each side of the equation. -26 + 26 + 2x = -20 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -20 + 26 2x = -20 + 26 Combine like terms: -20 + 26 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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