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Simplifying 2x + -7(2x + -11) + -18 = 5(x + 6) + -14x Reorder the terms: 2x + -7(-11 + 2x) + -18 = 5(x + 6) + -14x 2x + (-11 * -7 + 2x * -7) + -18 = 5(x + 6) + -14x 2x + (77 + -14x) + -18 = 5(x + 6) + -14x Reorder the terms: 77 + -18 + 2x + -14x = 5(x + 6) + -14x Combine like terms: 77 + -18 = 59 59 + 2x + -14x = 5(x + 6) + -14x Combine like terms: 2x + -14x = -12x 59 + -12x = 5(x + 6) + -14x Reorder the terms: 59 + -12x = 5(6 + x) + -14x 59 + -12x = (6 * 5 + x * 5) + -14x 59 + -12x = (30 + 5x) + -14x Combine like terms: 5x + -14x = -9x 59 + -12x = 30 + -9x Solving 59 + -12x = 30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 59 + -12x + 9x = 30 + -9x + 9x Combine like terms: -12x + 9x = -3x 59 + -3x = 30 + -9x + 9x Combine like terms: -9x + 9x = 0 59 + -3x = 30 + 0 59 + -3x = 30 Add '-59' to each side of the equation. 59 + -59 + -3x = 30 + -59 Combine like terms: 59 + -59 = 0 0 + -3x = 30 + -59 -3x = 30 + -59 Combine like terms: 30 + -59 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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