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Simplifying 5(x + -3) + 8x = 6x + -1(5 + -1x) Reorder the terms: 5(-3 + x) + 8x = 6x + -1(5 + -1x) (-3 * 5 + x * 5) + 8x = 6x + -1(5 + -1x) (-15 + 5x) + 8x = 6x + -1(5 + -1x) Combine like terms: 5x + 8x = 13x -15 + 13x = 6x + -1(5 + -1x) -15 + 13x = 6x + (5 * -1 + -1x * -1) -15 + 13x = 6x + (-5 + 1x) Reorder the terms: -15 + 13x = -5 + 6x + 1x Combine like terms: 6x + 1x = 7x -15 + 13x = -5 + 7x Solving -15 + 13x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 13x + -7x = -5 + 7x + -7x Combine like terms: 13x + -7x = 6x -15 + 6x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 6x = -5 + 0 -15 + 6x = -5 Add '15' to each side of the equation. -15 + 15 + 6x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -5 + 15 6x = -5 + 15 Combine like terms: -5 + 15 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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