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Simplifying 2(x + -3) + x + 4 = 9 + -2x + 1 + x Reorder the terms: 2(-3 + x) + x + 4 = 9 + -2x + 1 + x (-3 * 2 + x * 2) + x + 4 = 9 + -2x + 1 + x (-6 + 2x) + x + 4 = 9 + -2x + 1 + x Reorder the terms: -6 + 4 + 2x + x = 9 + -2x + 1 + x Combine like terms: -6 + 4 = -2 -2 + 2x + x = 9 + -2x + 1 + x Combine like terms: 2x + x = 3x -2 + 3x = 9 + -2x + 1 + x Reorder the terms: -2 + 3x = 9 + 1 + -2x + x Combine like terms: 9 + 1 = 10 -2 + 3x = 10 + -2x + x Combine like terms: -2x + x = -1x -2 + 3x = 10 + -1x Solving -2 + 3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 3x + x = 10 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = 10 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = 10 + 0 -2 + 4x = 10 Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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