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Simplifying 5(x + -4) + 7 = 2(x + -5) Reorder the terms: 5(-4 + x) + 7 = 2(x + -5) (-4 * 5 + x * 5) + 7 = 2(x + -5) (-20 + 5x) + 7 = 2(x + -5) Reorder the terms: -20 + 7 + 5x = 2(x + -5) Combine like terms: -20 + 7 = -13 -13 + 5x = 2(x + -5) Reorder the terms: -13 + 5x = 2(-5 + x) -13 + 5x = (-5 * 2 + x * 2) -13 + 5x = (-10 + 2x) Solving -13 + 5x = -10 + 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. -13 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = -10 + 0 -13 + 3x = -10 Add '13' to each side of the equation. -13 + 13 + 3x = -10 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -10 + 13 3x = -10 + 13 Combine like terms: -10 + 13 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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