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Simplifying -5(x + -2(2x + -3)) + 1 = 2x + -3 Reorder the terms: -5(x + -2(-3 + 2x)) + 1 = 2x + -3 -5(x + (-3 * -2 + 2x * -2)) + 1 = 2x + -3 -5(x + (6 + -4x)) + 1 = 2x + -3 Reorder the terms: -5(6 + x + -4x) + 1 = 2x + -3 Combine like terms: x + -4x = -3x -5(6 + -3x) + 1 = 2x + -3 (6 * -5 + -3x * -5) + 1 = 2x + -3 (-30 + 15x) + 1 = 2x + -3 Reorder the terms: -30 + 1 + 15x = 2x + -3 Combine like terms: -30 + 1 = -29 -29 + 15x = 2x + -3 Reorder the terms: -29 + 15x = -3 + 2x Solving -29 + 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. -29 + 15x + -2x = -3 + 2x + -2x Combine like terms: 15x + -2x = 13x -29 + 13x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 13x = -3 + 0 -29 + 13x = -3 Add '29' to each side of the equation. -29 + 29 + 13x = -3 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = -3 + 29 13x = -3 + 29 Combine like terms: -3 + 29 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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