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Simplifying 5(x + 3) + -35 = 3x + -1(x + 3) Reorder the terms: 5(3 + x) + -35 = 3x + -1(x + 3) (3 * 5 + x * 5) + -35 = 3x + -1(x + 3) (15 + 5x) + -35 = 3x + -1(x + 3) Reorder the terms: 15 + -35 + 5x = 3x + -1(x + 3) Combine like terms: 15 + -35 = -20 -20 + 5x = 3x + -1(x + 3) Reorder the terms: -20 + 5x = 3x + -1(3 + x) -20 + 5x = 3x + (3 * -1 + x * -1) -20 + 5x = 3x + (-3 + -1x) Reorder the terms: -20 + 5x = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x -20 + 5x = -3 + 2x Solving -20 + 5x = -3 + 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 = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = -3 + 0 -20 + 3x = -3 Add '20' to each side of the equation. -20 + 20 + 3x = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -3 + 20 3x = -3 + 20 Combine like terms: -3 + 20 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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