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Simplifying 5(x + -4) + -3 = 2(x + 3) Reorder the terms: 5(-4 + x) + -3 = 2(x + 3) (-4 * 5 + x * 5) + -3 = 2(x + 3) (-20 + 5x) + -3 = 2(x + 3) Reorder the terms: -20 + -3 + 5x = 2(x + 3) Combine like terms: -20 + -3 = -23 -23 + 5x = 2(x + 3) Reorder the terms: -23 + 5x = 2(3 + x) -23 + 5x = (3 * 2 + x * 2) -23 + 5x = (6 + 2x) Solving -23 + 5x = 6 + 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. -23 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -23 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 3x = 6 + 0 -23 + 3x = 6 Add '23' to each side of the equation. -23 + 23 + 3x = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 6 + 23 3x = 6 + 23 Combine like terms: 6 + 23 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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