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Simplifying 6(-3 + 7x) + -8x = 6(5 + 7x) (-3 * 6 + 7x * 6) + -8x = 6(5 + 7x) (-18 + 42x) + -8x = 6(5 + 7x) Combine like terms: 42x + -8x = 34x -18 + 34x = 6(5 + 7x) -18 + 34x = (5 * 6 + 7x * 6) -18 + 34x = (30 + 42x) Solving -18 + 34x = 30 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -18 + 34x + -42x = 30 + 42x + -42x Combine like terms: 34x + -42x = -8x -18 + -8x = 30 + 42x + -42x Combine like terms: 42x + -42x = 0 -18 + -8x = 30 + 0 -18 + -8x = 30 Add '18' to each side of the equation. -18 + 18 + -8x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 30 + 18 -8x = 30 + 18 Combine like terms: 30 + 18 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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