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Simplifying 5[x + -1(4x + -5)] = 3 + -2x Reorder the terms: 5[x + -1(-5 + 4x)] = 3 + -2x 5[x + (-5 * -1 + 4x * -1)] = 3 + -2x 5[x + (5 + -4x)] = 3 + -2x Reorder the terms: 5[5 + x + -4x] = 3 + -2x Combine like terms: x + -4x = -3x 5[5 + -3x] = 3 + -2x [5 * 5 + -3x * 5] = 3 + -2x [25 + -15x] = 3 + -2x Solving 25 + -15x = 3 + -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. 25 + -15x + 2x = 3 + -2x + 2x Combine like terms: -15x + 2x = -13x 25 + -13x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + -13x = 3 + 0 25 + -13x = 3 Add '-25' to each side of the equation. 25 + -25 + -13x = 3 + -25 Combine like terms: 25 + -25 = 0 0 + -13x = 3 + -25 -13x = 3 + -25 Combine like terms: 3 + -25 = -22 -13x = -22 Divide each side by '-13'. x = 1.692307692 Simplifying x = 1.692307692
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