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Simplifying -7[x + -2(2x + -3)] + 1 = 2x + -3 Reorder the terms: -7[x + -2(-3 + 2x)] + 1 = 2x + -3 -7[x + (-3 * -2 + 2x * -2)] + 1 = 2x + -3 -7[x + (6 + -4x)] + 1 = 2x + -3 Reorder the terms: -7[6 + x + -4x] + 1 = 2x + -3 Combine like terms: x + -4x = -3x -7[6 + -3x] + 1 = 2x + -3 [6 * -7 + -3x * -7] + 1 = 2x + -3 [-42 + 21x] + 1 = 2x + -3 Reorder the terms: -42 + 1 + 21x = 2x + -3 Combine like terms: -42 + 1 = -41 -41 + 21x = 2x + -3 Reorder the terms: -41 + 21x = -3 + 2x Solving -41 + 21x = -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. -41 + 21x + -2x = -3 + 2x + -2x Combine like terms: 21x + -2x = 19x -41 + 19x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -41 + 19x = -3 + 0 -41 + 19x = -3 Add '41' to each side of the equation. -41 + 41 + 19x = -3 + 41 Combine like terms: -41 + 41 = 0 0 + 19x = -3 + 41 19x = -3 + 41 Combine like terms: -3 + 41 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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