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Simplifying 6x + -2(x + -2) = -3 + 6x + 9 Reorder the terms: 6x + -2(-2 + x) = -3 + 6x + 9 6x + (-2 * -2 + x * -2) = -3 + 6x + 9 6x + (4 + -2x) = -3 + 6x + 9 Reorder the terms: 4 + 6x + -2x = -3 + 6x + 9 Combine like terms: 6x + -2x = 4x 4 + 4x = -3 + 6x + 9 Reorder the terms: 4 + 4x = -3 + 9 + 6x Combine like terms: -3 + 9 = 6 4 + 4x = 6 + 6x Solving 4 + 4x = 6 + 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. 4 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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