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Simplifying 2(x + -4) + -7 = -5(x + -3) Reorder the terms: 2(-4 + x) + -7 = -5(x + -3) (-4 * 2 + x * 2) + -7 = -5(x + -3) (-8 + 2x) + -7 = -5(x + -3) Reorder the terms: -8 + -7 + 2x = -5(x + -3) Combine like terms: -8 + -7 = -15 -15 + 2x = -5(x + -3) Reorder the terms: -15 + 2x = -5(-3 + x) -15 + 2x = (-3 * -5 + x * -5) -15 + 2x = (15 + -5x) Solving -15 + 2x = 15 + -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. -15 + 2x + 5x = 15 + -5x + 5x Combine like terms: 2x + 5x = 7x -15 + 7x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 7x = 15 + 0 -15 + 7x = 15 Add '15' to each side of the equation. -15 + 15 + 7x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 15 + 15 7x = 15 + 15 Combine like terms: 15 + 15 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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