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Simplifying 4x + -2(x + -3) = -7 + 4x + 9 Reorder the terms: 4x + -2(-3 + x) = -7 + 4x + 9 4x + (-3 * -2 + x * -2) = -7 + 4x + 9 4x + (6 + -2x) = -7 + 4x + 9 Reorder the terms: 6 + 4x + -2x = -7 + 4x + 9 Combine like terms: 4x + -2x = 2x 6 + 2x = -7 + 4x + 9 Reorder the terms: 6 + 2x = -7 + 9 + 4x Combine like terms: -7 + 9 = 2 6 + 2x = 2 + 4x Solving 6 + 2x = 2 + 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. 6 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 2 + 0 6 + -2x = 2 Add '-6' to each side of the equation. 6 + -6 + -2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 2 + -6 -2x = 2 + -6 Combine like terms: 2 + -6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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