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Simplifying -2(4x + -5) + 6x = 4x + -7 Reorder the terms: -2(-5 + 4x) + 6x = 4x + -7 (-5 * -2 + 4x * -2) + 6x = 4x + -7 (10 + -8x) + 6x = 4x + -7 Combine like terms: -8x + 6x = -2x 10 + -2x = 4x + -7 Reorder the terms: 10 + -2x = -7 + 4x Solving 10 + -2x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -2x + -4x = -7 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = -7 + 0 10 + -6x = -7 Add '-10' to each side of the equation. 10 + -10 + -6x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -7 + -10 -6x = -7 + -10 Combine like terms: -7 + -10 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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