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Simplifying 2(x + -3) + 4 = 4(2x + 3) + x Reorder the terms: 2(-3 + x) + 4 = 4(2x + 3) + x (-3 * 2 + x * 2) + 4 = 4(2x + 3) + x (-6 + 2x) + 4 = 4(2x + 3) + x Reorder the terms: -6 + 4 + 2x = 4(2x + 3) + x Combine like terms: -6 + 4 = -2 -2 + 2x = 4(2x + 3) + x Reorder the terms: -2 + 2x = 4(3 + 2x) + x -2 + 2x = (3 * 4 + 2x * 4) + x -2 + 2x = (12 + 8x) + x Combine like terms: 8x + x = 9x -2 + 2x = 12 + 9x Solving -2 + 2x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 2x + -9x = 12 + 9x + -9x Combine like terms: 2x + -9x = -7x -2 + -7x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -7x = 12 + 0 -2 + -7x = 12 Add '2' to each side of the equation. -2 + 2 + -7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 12 + 2 -7x = 12 + 2 Combine like terms: 12 + 2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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