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Simplifying -2(3 + -1x) + 5x + 2(x + 3) = 4x + 2x + 3(-1x + -2) + 12 (3 * -2 + -1x * -2) + 5x + 2(x + 3) = 4x + 2x + 3(-1x + -2) + 12 (-6 + 2x) + 5x + 2(x + 3) = 4x + 2x + 3(-1x + -2) + 12 Reorder the terms: -6 + 2x + 5x + 2(3 + x) = 4x + 2x + 3(-1x + -2) + 12 -6 + 2x + 5x + (3 * 2 + x * 2) = 4x + 2x + 3(-1x + -2) + 12 -6 + 2x + 5x + (6 + 2x) = 4x + 2x + 3(-1x + -2) + 12 Reorder the terms: -6 + 6 + 2x + 5x + 2x = 4x + 2x + 3(-1x + -2) + 12 Combine like terms: -6 + 6 = 0 0 + 2x + 5x + 2x = 4x + 2x + 3(-1x + -2) + 12 2x + 5x + 2x = 4x + 2x + 3(-1x + -2) + 12 Combine like terms: 2x + 5x = 7x 7x + 2x = 4x + 2x + 3(-1x + -2) + 12 Combine like terms: 7x + 2x = 9x 9x = 4x + 2x + 3(-1x + -2) + 12 Reorder the terms: 9x = 4x + 2x + 3(-2 + -1x) + 12 9x = 4x + 2x + (-2 * 3 + -1x * 3) + 12 9x = 4x + 2x + (-6 + -3x) + 12 Reorder the terms: 9x = -6 + 12 + 4x + 2x + -3x Combine like terms: -6 + 12 = 6 9x = 6 + 4x + 2x + -3x Combine like terms: 4x + 2x = 6x 9x = 6 + 6x + -3x Combine like terms: 6x + -3x = 3x 9x = 6 + 3x Solving 9x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 6x = 6 + 0 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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