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Simplifying 3[2 + -4(x + -3)] = 7 + -1(4x + -2) Reorder the terms: 3[2 + -4(-3 + x)] = 7 + -1(4x + -2) 3[2 + (-3 * -4 + x * -4)] = 7 + -1(4x + -2) 3[2 + (12 + -4x)] = 7 + -1(4x + -2) Combine like terms: 2 + 12 = 14 3[14 + -4x] = 7 + -1(4x + -2) [14 * 3 + -4x * 3] = 7 + -1(4x + -2) [42 + -12x] = 7 + -1(4x + -2) Reorder the terms: 42 + -12x = 7 + -1(-2 + 4x) 42 + -12x = 7 + (-2 * -1 + 4x * -1) 42 + -12x = 7 + (2 + -4x) Combine like terms: 7 + 2 = 9 42 + -12x = 9 + -4x Solving 42 + -12x = 9 + -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. 42 + -12x + 4x = 9 + -4x + 4x Combine like terms: -12x + 4x = -8x 42 + -8x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + -8x = 9 + 0 42 + -8x = 9 Add '-42' to each side of the equation. 42 + -42 + -8x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 9 + -42 -8x = 9 + -42 Combine like terms: 9 + -42 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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