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Simplifying 5(x + -4) + 3 = 2x + 13 Reorder the terms: 5(-4 + x) + 3 = 2x + 13 (-4 * 5 + x * 5) + 3 = 2x + 13 (-20 + 5x) + 3 = 2x + 13 Reorder the terms: -20 + 3 + 5x = 2x + 13 Combine like terms: -20 + 3 = -17 -17 + 5x = 2x + 13 Reorder the terms: -17 + 5x = 13 + 2x Solving -17 + 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. -17 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = 13 + 0 -17 + 3x = 13 Add '17' to each side of the equation. -17 + 17 + 3x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 13 + 17 3x = 13 + 17 Combine like terms: 13 + 17 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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