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