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Simplifying 5(2 + -3x) + -4 = 1 + -2(3 + x) (2 * 5 + -3x * 5) + -4 = 1 + -2(3 + x) (10 + -15x) + -4 = 1 + -2(3 + x) Reorder the terms: 10 + -4 + -15x = 1 + -2(3 + x) Combine like terms: 10 + -4 = 6 6 + -15x = 1 + -2(3 + x) 6 + -15x = 1 + (3 * -2 + x * -2) 6 + -15x = 1 + (-6 + -2x) Combine like terms: 1 + -6 = -5 6 + -15x = -5 + -2x Solving 6 + -15x = -5 + -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. 6 + -15x + 2x = -5 + -2x + 2x Combine like terms: -15x + 2x = -13x 6 + -13x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -13x = -5 + 0 6 + -13x = -5 Add '-6' to each side of the equation. 6 + -6 + -13x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -5 + -6 -13x = -5 + -6 Combine like terms: -5 + -6 = -11 -13x = -11 Divide each side by '-13'. x = 0.8461538462 Simplifying x = 0.8461538462
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