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Simplifying 3[x + -6] + 2 = 5x + -2 Reorder the terms: 3[-6 + x] + 2 = 5x + -2 [-6 * 3 + x * 3] + 2 = 5x + -2 [-18 + 3x] + 2 = 5x + -2 Reorder the terms: -18 + 2 + 3x = 5x + -2 Combine like terms: -18 + 2 = -16 -16 + 3x = 5x + -2 Reorder the terms: -16 + 3x = -2 + 5x Solving -16 + 3x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x -16 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -2x = -2 + 0 -16 + -2x = -2 Add '16' to each side of the equation. -16 + 16 + -2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -2 + 16 -2x = -2 + 16 Combine like terms: -2 + 16 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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