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Simplifying 5(6x + -5) + 51 = -6(x + -7) + 18x + 2 Reorder the terms: 5(-5 + 6x) + 51 = -6(x + -7) + 18x + 2 (-5 * 5 + 6x * 5) + 51 = -6(x + -7) + 18x + 2 (-25 + 30x) + 51 = -6(x + -7) + 18x + 2 Reorder the terms: -25 + 51 + 30x = -6(x + -7) + 18x + 2 Combine like terms: -25 + 51 = 26 26 + 30x = -6(x + -7) + 18x + 2 Reorder the terms: 26 + 30x = -6(-7 + x) + 18x + 2 26 + 30x = (-7 * -6 + x * -6) + 18x + 2 26 + 30x = (42 + -6x) + 18x + 2 Reorder the terms: 26 + 30x = 42 + 2 + -6x + 18x Combine like terms: 42 + 2 = 44 26 + 30x = 44 + -6x + 18x Combine like terms: -6x + 18x = 12x 26 + 30x = 44 + 12x Solving 26 + 30x = 44 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 26 + 30x + -12x = 44 + 12x + -12x Combine like terms: 30x + -12x = 18x 26 + 18x = 44 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + 18x = 44 + 0 26 + 18x = 44 Add '-26' to each side of the equation. 26 + -26 + 18x = 44 + -26 Combine like terms: 26 + -26 = 0 0 + 18x = 44 + -26 18x = 44 + -26 Combine like terms: 44 + -26 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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