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Simplifying 9[x + -4] + -7x = 5[3x + -2] Reorder the terms: 9[-4 + x] + -7x = 5[3x + -2] [-4 * 9 + x * 9] + -7x = 5[3x + -2] [-36 + 9x] + -7x = 5[3x + -2] Combine like terms: 9x + -7x = 2x -36 + 2x = 5[3x + -2] Reorder the terms: -36 + 2x = 5[-2 + 3x] -36 + 2x = [-2 * 5 + 3x * 5] -36 + 2x = [-10 + 15x] Solving -36 + 2x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -36 + 2x + -15x = -10 + 15x + -15x Combine like terms: 2x + -15x = -13x -36 + -13x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + -13x = -10 + 0 -36 + -13x = -10 Add '36' to each side of the equation. -36 + 36 + -13x = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13x = -10 + 36 -13x = -10 + 36 Combine like terms: -10 + 36 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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