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Simplifying 5(x + -4) + -2 = 2(x + 7) + -3 Reorder the terms: 5(-4 + x) + -2 = 2(x + 7) + -3 (-4 * 5 + x * 5) + -2 = 2(x + 7) + -3 (-20 + 5x) + -2 = 2(x + 7) + -3 Reorder the terms: -20 + -2 + 5x = 2(x + 7) + -3 Combine like terms: -20 + -2 = -22 -22 + 5x = 2(x + 7) + -3 Reorder the terms: -22 + 5x = 2(7 + x) + -3 -22 + 5x = (7 * 2 + x * 2) + -3 -22 + 5x = (14 + 2x) + -3 Reorder the terms: -22 + 5x = 14 + -3 + 2x Combine like terms: 14 + -3 = 11 -22 + 5x = 11 + 2x Solving -22 + 5x = 11 + 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. -22 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = 11 + 0 -22 + 3x = 11 Add '22' to each side of the equation. -22 + 22 + 3x = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 11 + 22 3x = 11 + 22 Combine like terms: 11 + 22 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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