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Simplifying 2(2x + -3) + -9x + -4 = 2x + 12 Reorder the terms: 2(-3 + 2x) + -9x + -4 = 2x + 12 (-3 * 2 + 2x * 2) + -9x + -4 = 2x + 12 (-6 + 4x) + -9x + -4 = 2x + 12 Reorder the terms: -6 + -4 + 4x + -9x = 2x + 12 Combine like terms: -6 + -4 = -10 -10 + 4x + -9x = 2x + 12 Combine like terms: 4x + -9x = -5x -10 + -5x = 2x + 12 Reorder the terms: -10 + -5x = 12 + 2x Solving -10 + -5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -5x + -2x = 12 + 2x + -2x Combine like terms: -5x + -2x = -7x -10 + -7x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -7x = 12 + 0 -10 + -7x = 12 Add '10' to each side of the equation. -10 + 10 + -7x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 12 + 10 -7x = 12 + 10 Combine like terms: 12 + 10 = 22 -7x = 22 Divide each side by '-7'. x = -3.142857143 Simplifying x = -3.142857143
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