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Simplifying 2(x + -3) + -7 = 18 + -5(x + 14) Reorder the terms: 2(-3 + x) + -7 = 18 + -5(x + 14) (-3 * 2 + x * 2) + -7 = 18 + -5(x + 14) (-6 + 2x) + -7 = 18 + -5(x + 14) Reorder the terms: -6 + -7 + 2x = 18 + -5(x + 14) Combine like terms: -6 + -7 = -13 -13 + 2x = 18 + -5(x + 14) Reorder the terms: -13 + 2x = 18 + -5(14 + x) -13 + 2x = 18 + (14 * -5 + x * -5) -13 + 2x = 18 + (-70 + -5x) Combine like terms: 18 + -70 = -52 -13 + 2x = -52 + -5x Solving -13 + 2x = -52 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 2x + 5x = -52 + -5x + 5x Combine like terms: 2x + 5x = 7x -13 + 7x = -52 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 7x = -52 + 0 -13 + 7x = -52 Add '13' to each side of the equation. -13 + 13 + 7x = -52 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = -52 + 13 7x = -52 + 13 Combine like terms: -52 + 13 = -39 7x = -39 Divide each side by '7'. x = -5.571428571 Simplifying x = -5.571428571
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