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Simplifying -6x + 9x + 4 = 2(x + 1) Reorder the terms: 4 + -6x + 9x = 2(x + 1) Combine like terms: -6x + 9x = 3x 4 + 3x = 2(x + 1) Reorder the terms: 4 + 3x = 2(1 + x) 4 + 3x = (1 * 2 + x * 2) 4 + 3x = (2 + 2x) Solving 4 + 3x = 2 + 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. 4 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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