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Simplifying 9x + -4(x + -2) = -2 + 7x + 6 Reorder the terms: 9x + -4(-2 + x) = -2 + 7x + 6 9x + (-2 * -4 + x * -4) = -2 + 7x + 6 9x + (8 + -4x) = -2 + 7x + 6 Reorder the terms: 8 + 9x + -4x = -2 + 7x + 6 Combine like terms: 9x + -4x = 5x 8 + 5x = -2 + 7x + 6 Reorder the terms: 8 + 5x = -2 + 6 + 7x Combine like terms: -2 + 6 = 4 8 + 5x = 4 + 7x Solving 8 + 5x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 5x + -7x = 4 + 7x + -7x Combine like terms: 5x + -7x = -2x 8 + -2x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -2x = 4 + 0 8 + -2x = 4 Add '-8' to each side of the equation. 8 + -8 + -2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 4 + -8 -2x = 4 + -8 Combine like terms: 4 + -8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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