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Simplifying 5(x + -7) + 12 = 2(x + -6) Reorder the terms: 5(-7 + x) + 12 = 2(x + -6) (-7 * 5 + x * 5) + 12 = 2(x + -6) (-35 + 5x) + 12 = 2(x + -6) Reorder the terms: -35 + 12 + 5x = 2(x + -6) Combine like terms: -35 + 12 = -23 -23 + 5x = 2(x + -6) Reorder the terms: -23 + 5x = 2(-6 + x) -23 + 5x = (-6 * 2 + x * 2) -23 + 5x = (-12 + 2x) Solving -23 + 5x = -12 + 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. -23 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -23 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 3x = -12 + 0 -23 + 3x = -12 Add '23' to each side of the equation. -23 + 23 + 3x = -12 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -12 + 23 3x = -12 + 23 Combine like terms: -12 + 23 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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