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Simplifying -8[x + -2(2x + -3)] + 1 = 2x + -3 Reorder the terms: -8[x + -2(-3 + 2x)] + 1 = 2x + -3 -8[x + (-3 * -2 + 2x * -2)] + 1 = 2x + -3 -8[x + (6 + -4x)] + 1 = 2x + -3 Reorder the terms: -8[6 + x + -4x] + 1 = 2x + -3 Combine like terms: x + -4x = -3x -8[6 + -3x] + 1 = 2x + -3 [6 * -8 + -3x * -8] + 1 = 2x + -3 [-48 + 24x] + 1 = 2x + -3 Reorder the terms: -48 + 1 + 24x = 2x + -3 Combine like terms: -48 + 1 = -47 -47 + 24x = 2x + -3 Reorder the terms: -47 + 24x = -3 + 2x Solving -47 + 24x = -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. -47 + 24x + -2x = -3 + 2x + -2x Combine like terms: 24x + -2x = 22x -47 + 22x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -47 + 22x = -3 + 0 -47 + 22x = -3 Add '47' to each side of the equation. -47 + 47 + 22x = -3 + 47 Combine like terms: -47 + 47 = 0 0 + 22x = -3 + 47 22x = -3 + 47 Combine like terms: -3 + 47 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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