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Simplifying -5(3x + -4) = 2(x + 27) Reorder the terms: -5(-4 + 3x) = 2(x + 27) (-4 * -5 + 3x * -5) = 2(x + 27) (20 + -15x) = 2(x + 27) Reorder the terms: 20 + -15x = 2(27 + x) 20 + -15x = (27 * 2 + x * 2) 20 + -15x = (54 + 2x) Solving 20 + -15x = 54 + 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. 20 + -15x + -2x = 54 + 2x + -2x Combine like terms: -15x + -2x = -17x 20 + -17x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -17x = 54 + 0 20 + -17x = 54 Add '-20' to each side of the equation. 20 + -20 + -17x = 54 + -20 Combine like terms: 20 + -20 = 0 0 + -17x = 54 + -20 -17x = 54 + -20 Combine like terms: 54 + -20 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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