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Simplifying -4(x + -2) = 6(x + 7) Reorder the terms: -4(-2 + x) = 6(x + 7) (-2 * -4 + x * -4) = 6(x + 7) (8 + -4x) = 6(x + 7) Reorder the terms: 8 + -4x = 6(7 + x) 8 + -4x = (7 * 6 + x * 6) 8 + -4x = (42 + 6x) Solving 8 + -4x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -4x + -6x = 42 + 6x + -6x Combine like terms: -4x + -6x = -10x 8 + -10x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -10x = 42 + 0 8 + -10x = 42 Add '-8' to each side of the equation. 8 + -8 + -10x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 42 + -8 -10x = 42 + -8 Combine like terms: 42 + -8 = 34 -10x = 34 Divide each side by '-10'. x = -3.4 Simplifying x = -3.4
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