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Simplifying 3 + -2(2x + 3) + 2x = -2(x + -3) + 6x Reorder the terms: 3 + -2(3 + 2x) + 2x = -2(x + -3) + 6x 3 + (3 * -2 + 2x * -2) + 2x = -2(x + -3) + 6x 3 + (-6 + -4x) + 2x = -2(x + -3) + 6x Combine like terms: 3 + -6 = -3 -3 + -4x + 2x = -2(x + -3) + 6x Combine like terms: -4x + 2x = -2x -3 + -2x = -2(x + -3) + 6x Reorder the terms: -3 + -2x = -2(-3 + x) + 6x -3 + -2x = (-3 * -2 + x * -2) + 6x -3 + -2x = (6 + -2x) + 6x Combine like terms: -2x + 6x = 4x -3 + -2x = 6 + 4x Solving -3 + -2x = 6 + 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. -3 + -2x + -4x = 6 + 4x + -4x Combine like terms: -2x + -4x = -6x -3 + -6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -6x = 6 + 0 -3 + -6x = 6 Add '3' to each side of the equation. -3 + 3 + -6x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 6 + 3 -6x = 6 + 3 Combine like terms: 6 + 3 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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