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Simplifying 6(x + -3) + 10 = 5x + -9 Reorder the terms: 6(-3 + x) + 10 = 5x + -9 (-3 * 6 + x * 6) + 10 = 5x + -9 (-18 + 6x) + 10 = 5x + -9 Reorder the terms: -18 + 10 + 6x = 5x + -9 Combine like terms: -18 + 10 = -8 -8 + 6x = 5x + -9 Reorder the terms: -8 + 6x = -9 + 5x Solving -8 + 6x = -9 + 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. -8 + 6x + -5x = -9 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = -9 + 0 -8 + 1x = -9 Add '8' to each side of the equation. -8 + 8 + 1x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -9 + 8 1x = -9 + 8 Combine like terms: -9 + 8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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