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Simplifying 3[x + -2] = 5[x + 4] Reorder the terms: 3[-2 + x] = 5[x + 4] [-2 * 3 + x * 3] = 5[x + 4] [-6 + 3x] = 5[x + 4] Reorder the terms: -6 + 3x = 5[4 + x] -6 + 3x = [4 * 5 + x * 5] -6 + 3x = [20 + 5x] Solving -6 + 3x = 20 + 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. -6 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = 20 + 0 -6 + -2x = 20 Add '6' to each side of the equation. -6 + 6 + -2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 20 + 6 -2x = 20 + 6 Combine like terms: 20 + 6 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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