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Simplifying 2[3 + -1(2x + -1)] = 3[7 + -2(x + 2)] Reorder the terms: 2[3 + -1(-1 + 2x)] = 3[7 + -2(x + 2)] 2[3 + (-1 * -1 + 2x * -1)] = 3[7 + -2(x + 2)] 2[3 + (1 + -2x)] = 3[7 + -2(x + 2)] Combine like terms: 3 + 1 = 4 2[4 + -2x] = 3[7 + -2(x + 2)] [4 * 2 + -2x * 2] = 3[7 + -2(x + 2)] [8 + -4x] = 3[7 + -2(x + 2)] Reorder the terms: 8 + -4x = 3[7 + -2(2 + x)] 8 + -4x = 3[7 + (2 * -2 + x * -2)] 8 + -4x = 3[7 + (-4 + -2x)] Combine like terms: 7 + -4 = 3 8 + -4x = 3[3 + -2x] 8 + -4x = [3 * 3 + -2x * 3] 8 + -4x = [9 + -6x] Solving 8 + -4x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -4x + 6x = 9 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 9 + 0 8 + 2x = 9 Add '-8' to each side of the equation. 8 + -8 + 2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 9 + -8 2x = 9 + -8 Combine like terms: 9 + -8 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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