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Simplifying -4[x + -2(2x + -3)] + 1 = 2x + -3 Reorder the terms: -4[x + -2(-3 + 2x)] + 1 = 2x + -3 -4[x + (-3 * -2 + 2x * -2)] + 1 = 2x + -3 -4[x + (6 + -4x)] + 1 = 2x + -3 Reorder the terms: -4[6 + x + -4x] + 1 = 2x + -3 Combine like terms: x + -4x = -3x -4[6 + -3x] + 1 = 2x + -3 [6 * -4 + -3x * -4] + 1 = 2x + -3 [-24 + 12x] + 1 = 2x + -3 Reorder the terms: -24 + 1 + 12x = 2x + -3 Combine like terms: -24 + 1 = -23 -23 + 12x = 2x + -3 Reorder the terms: -23 + 12x = -3 + 2x Solving -23 + 12x = -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. -23 + 12x + -2x = -3 + 2x + -2x Combine like terms: 12x + -2x = 10x -23 + 10x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 10x = -3 + 0 -23 + 10x = -3 Add '23' to each side of the equation. -23 + 23 + 10x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = -3 + 23 10x = -3 + 23 Combine like terms: -3 + 23 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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