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Simplifying 6(x + -3) + 2 = 5x + -7 Reorder the terms: 6(-3 + x) + 2 = 5x + -7 (-3 * 6 + x * 6) + 2 = 5x + -7 (-18 + 6x) + 2 = 5x + -7 Reorder the terms: -18 + 2 + 6x = 5x + -7 Combine like terms: -18 + 2 = -16 -16 + 6x = 5x + -7 Reorder the terms: -16 + 6x = -7 + 5x Solving -16 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -16 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 1x = -7 + 0 -16 + 1x = -7 Add '16' to each side of the equation. -16 + 16 + 1x = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -7 + 16 1x = -7 + 16 Combine like terms: -7 + 16 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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