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Simplifying 3[6 + -1(x + 2)] + -6 = 4(-1x + 7) Reorder the terms: 3[6 + -1(2 + x)] + -6 = 4(-1x + 7) 3[6 + (2 * -1 + x * -1)] + -6 = 4(-1x + 7) 3[6 + (-2 + -1x)] + -6 = 4(-1x + 7) Combine like terms: 6 + -2 = 4 3[4 + -1x] + -6 = 4(-1x + 7) [4 * 3 + -1x * 3] + -6 = 4(-1x + 7) [12 + -3x] + -6 = 4(-1x + 7) Reorder the terms: 12 + -6 + -3x = 4(-1x + 7) Combine like terms: 12 + -6 = 6 6 + -3x = 4(-1x + 7) Reorder the terms: 6 + -3x = 4(7 + -1x) 6 + -3x = (7 * 4 + -1x * 4) 6 + -3x = (28 + -4x) Solving 6 + -3x = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -3x + 4x = 28 + -4x + 4x Combine like terms: -3x + 4x = 1x 6 + 1x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 1x = 28 + 0 6 + 1x = 28 Add '-6' to each side of the equation. 6 + -6 + 1x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 28 + -6 1x = 28 + -6 Combine like terms: 28 + -6 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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