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Simplifying 3x + 4 + -9x = 2(2x + 3) Reorder the terms: 4 + 3x + -9x = 2(2x + 3) Combine like terms: 3x + -9x = -6x 4 + -6x = 2(2x + 3) Reorder the terms: 4 + -6x = 2(3 + 2x) 4 + -6x = (3 * 2 + 2x * 2) 4 + -6x = (6 + 4x) Solving 4 + -6x = 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. 4 + -6x + -4x = 6 + 4x + -4x Combine like terms: -6x + -4x = -10x 4 + -10x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -10x = 6 + 0 4 + -10x = 6 Add '-4' to each side of the equation. 4 + -4 + -10x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 6 + -4 -10x = 6 + -4 Combine like terms: 6 + -4 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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