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Simplifying 5 + (x + 7) = 6(x + -5) Reorder the terms: 5 + (7 + x) = 6(x + -5) Remove parenthesis around (7 + x) 5 + 7 + x = 6(x + -5) Combine like terms: 5 + 7 = 12 12 + x = 6(x + -5) Reorder the terms: 12 + x = 6(-5 + x) 12 + x = (-5 * 6 + x * 6) 12 + x = (-30 + 6x) Solving 12 + x = -30 + 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. 12 + x + -6x = -30 + 6x + -6x Combine like terms: x + -6x = -5x 12 + -5x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -5x = -30 + 0 12 + -5x = -30 Add '-12' to each side of the equation. 12 + -12 + -5x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -30 + -12 -5x = -30 + -12 Combine like terms: -30 + -12 = -42 -5x = -42 Divide each side by '-5'. x = 8.4 Simplifying x = 8.4
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