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Simplifying 5(x + -3) + 8 + x = 6x + -5 + x Reorder the terms: 5(-3 + x) + 8 + x = 6x + -5 + x (-3 * 5 + x * 5) + 8 + x = 6x + -5 + x (-15 + 5x) + 8 + x = 6x + -5 + x Reorder the terms: -15 + 8 + 5x + x = 6x + -5 + x Combine like terms: -15 + 8 = -7 -7 + 5x + x = 6x + -5 + x Combine like terms: 5x + x = 6x -7 + 6x = 6x + -5 + x Reorder the terms: -7 + 6x = -5 + 6x + x Combine like terms: 6x + x = 7x -7 + 6x = -5 + 7x Solving -7 + 6x = -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. -7 + 6x + -7x = -5 + 7x + -7x Combine like terms: 6x + -7x = -1x -7 + -1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -1x = -5 + 0 -7 + -1x = -5 Add '7' to each side of the equation. -7 + 7 + -1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -5 + 7 -1x = -5 + 7 Combine like terms: -5 + 7 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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