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Simplifying 6(x + -7) + 16 = 2(x + -5) Reorder the terms: 6(-7 + x) + 16 = 2(x + -5) (-7 * 6 + x * 6) + 16 = 2(x + -5) (-42 + 6x) + 16 = 2(x + -5) Reorder the terms: -42 + 16 + 6x = 2(x + -5) Combine like terms: -42 + 16 = -26 -26 + 6x = 2(x + -5) Reorder the terms: -26 + 6x = 2(-5 + x) -26 + 6x = (-5 * 2 + x * 2) -26 + 6x = (-10 + 2x) Solving -26 + 6x = -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. -26 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -26 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 4x = -10 + 0 -26 + 4x = -10 Add '26' to each side of the equation. -26 + 26 + 4x = -10 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -10 + 26 4x = -10 + 26 Combine like terms: -10 + 26 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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