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Simplifying 2(x + -3) + -7 = 18 + -5(x + -4) Reorder the terms: 2(-3 + x) + -7 = 18 + -5(x + -4) (-3 * 2 + x * 2) + -7 = 18 + -5(x + -4) (-6 + 2x) + -7 = 18 + -5(x + -4) Reorder the terms: -6 + -7 + 2x = 18 + -5(x + -4) Combine like terms: -6 + -7 = -13 -13 + 2x = 18 + -5(x + -4) Reorder the terms: -13 + 2x = 18 + -5(-4 + x) -13 + 2x = 18 + (-4 * -5 + x * -5) -13 + 2x = 18 + (20 + -5x) Combine like terms: 18 + 20 = 38 -13 + 2x = 38 + -5x Solving -13 + 2x = 38 + -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 = 38 + -5x + 5x Combine like terms: 2x + 5x = 7x -13 + 7x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 7x = 38 + 0 -13 + 7x = 38 Add '13' to each side of the equation. -13 + 13 + 7x = 38 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 38 + 13 7x = 38 + 13 Combine like terms: 38 + 13 = 51 7x = 51 Divide each side by '7'. x = 7.285714286 Simplifying x = 7.285714286
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