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Simplifying -5(x + -2) + 7x = 6x + -9 Reorder the terms: -5(-2 + x) + 7x = 6x + -9 (-2 * -5 + x * -5) + 7x = 6x + -9 (10 + -5x) + 7x = 6x + -9 Combine like terms: -5x + 7x = 2x 10 + 2x = 6x + -9 Reorder the terms: 10 + 2x = -9 + 6x Solving 10 + 2x = -9 + 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. 10 + 2x + -6x = -9 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = -9 + 0 10 + -4x = -9 Add '-10' to each side of the equation. 10 + -10 + -4x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -9 + -10 -4x = -9 + -10 Combine like terms: -9 + -10 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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