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Simplifying 5(x + -3) = 7 + -2(x + -4) Reorder the terms: 5(-3 + x) = 7 + -2(x + -4) (-3 * 5 + x * 5) = 7 + -2(x + -4) (-15 + 5x) = 7 + -2(x + -4) Reorder the terms: -15 + 5x = 7 + -2(-4 + x) -15 + 5x = 7 + (-4 * -2 + x * -2) -15 + 5x = 7 + (8 + -2x) Combine like terms: 7 + 8 = 15 -15 + 5x = 15 + -2x Solving -15 + 5x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x -15 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 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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