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Simplifying 5(x + -3) + 8x = 6x + -5 + 6x Reorder the terms: 5(-3 + x) + 8x = 6x + -5 + 6x (-3 * 5 + x * 5) + 8x = 6x + -5 + 6x (-15 + 5x) + 8x = 6x + -5 + 6x Combine like terms: 5x + 8x = 13x -15 + 13x = 6x + -5 + 6x Reorder the terms: -15 + 13x = -5 + 6x + 6x Combine like terms: 6x + 6x = 12x -15 + 13x = -5 + 12x Solving -15 + 13x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 13x + -12x = -5 + 12x + -12x Combine like terms: 13x + -12x = 1x -15 + 1x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 1x = -5 + 0 -15 + 1x = -5 Add '15' to each side of the equation. -15 + 15 + 1x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -5 + 15 1x = -5 + 15 Combine like terms: -5 + 15 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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