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Simplifying 6(3x + -7) = 17x + -10 Reorder the terms: 6(-7 + 3x) = 17x + -10 (-7 * 6 + 3x * 6) = 17x + -10 (-42 + 18x) = 17x + -10 Reorder the terms: -42 + 18x = -10 + 17x Solving -42 + 18x = -10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -42 + 18x + -17x = -10 + 17x + -17x Combine like terms: 18x + -17x = 1x -42 + 1x = -10 + 17x + -17x Combine like terms: 17x + -17x = 0 -42 + 1x = -10 + 0 -42 + 1x = -10 Add '42' to each side of the equation. -42 + 42 + 1x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -10 + 42 1x = -10 + 42 Combine like terms: -10 + 42 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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