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Simplifying 2 + 3[2(x + -2) + 1] = 13 + -2(x + -6) Reorder the terms: 2 + 3[2(-2 + x) + 1] = 13 + -2(x + -6) 2 + 3[(-2 * 2 + x * 2) + 1] = 13 + -2(x + -6) 2 + 3[(-4 + 2x) + 1] = 13 + -2(x + -6) Reorder the terms: 2 + 3[-4 + 1 + 2x] = 13 + -2(x + -6) Combine like terms: -4 + 1 = -3 2 + 3[-3 + 2x] = 13 + -2(x + -6) 2 + [-3 * 3 + 2x * 3] = 13 + -2(x + -6) 2 + [-9 + 6x] = 13 + -2(x + -6) Combine like terms: 2 + -9 = -7 -7 + 6x = 13 + -2(x + -6) Reorder the terms: -7 + 6x = 13 + -2(-6 + x) -7 + 6x = 13 + (-6 * -2 + x * -2) -7 + 6x = 13 + (12 + -2x) Combine like terms: 13 + 12 = 25 -7 + 6x = 25 + -2x Solving -7 + 6x = 25 + -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. -7 + 6x + 2x = 25 + -2x + 2x Combine like terms: 6x + 2x = 8x -7 + 8x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 8x = 25 + 0 -7 + 8x = 25 Add '7' to each side of the equation. -7 + 7 + 8x = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 25 + 7 8x = 25 + 7 Combine like terms: 25 + 7 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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