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Simplifying 2(x + 3) = 5(x + -1 + -4x) Reorder the terms: 2(3 + x) = 5(x + -1 + -4x) (3 * 2 + x * 2) = 5(x + -1 + -4x) (6 + 2x) = 5(x + -1 + -4x) Reorder the terms: 6 + 2x = 5(-1 + x + -4x) Combine like terms: x + -4x = -3x 6 + 2x = 5(-1 + -3x) 6 + 2x = (-1 * 5 + -3x * 5) 6 + 2x = (-5 + -15x) Solving 6 + 2x = -5 + -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. 6 + 2x + 15x = -5 + -15x + 15x Combine like terms: 2x + 15x = 17x 6 + 17x = -5 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 17x = -5 + 0 6 + 17x = -5 Add '-6' to each side of the equation. 6 + -6 + 17x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = -5 + -6 17x = -5 + -6 Combine like terms: -5 + -6 = -11 17x = -11 Divide each side by '17'. x = -0.6470588235 Simplifying x = -0.6470588235
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