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Simplifying 5(x + -4) = -2(x + -3) + 7 Reorder the terms: 5(-4 + x) = -2(x + -3) + 7 (-4 * 5 + x * 5) = -2(x + -3) + 7 (-20 + 5x) = -2(x + -3) + 7 Reorder the terms: -20 + 5x = -2(-3 + x) + 7 -20 + 5x = (-3 * -2 + x * -2) + 7 -20 + 5x = (6 + -2x) + 7 Reorder the terms: -20 + 5x = 6 + 7 + -2x Combine like terms: 6 + 7 = 13 -20 + 5x = 13 + -2x Solving -20 + 5x = 13 + -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. -20 + 5x + 2x = 13 + -2x + 2x Combine like terms: 5x + 2x = 7x -20 + 7x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 7x = 13 + 0 -20 + 7x = 13 Add '20' to each side of the equation. -20 + 20 + 7x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 13 + 20 7x = 13 + 20 Combine like terms: 13 + 20 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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