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Simplifying 3z + -2[4 + -3(x + 1)] = 4(x + -5) + -1 Reorder the terms: 3z + -2[4 + -3(1 + x)] = 4(x + -5) + -1 3z + -2[4 + (1 * -3 + x * -3)] = 4(x + -5) + -1 3z + -2[4 + (-3 + -3x)] = 4(x + -5) + -1 Combine like terms: 4 + -3 = 1 3z + -2[1 + -3x] = 4(x + -5) + -1 3z + [1 * -2 + -3x * -2] = 4(x + -5) + -1 3z + [-2 + 6x] = 4(x + -5) + -1 Reorder the terms: -2 + 6x + 3z = 4(x + -5) + -1 Reorder the terms: -2 + 6x + 3z = 4(-5 + x) + -1 -2 + 6x + 3z = (-5 * 4 + x * 4) + -1 -2 + 6x + 3z = (-20 + 4x) + -1 Reorder the terms: -2 + 6x + 3z = -20 + -1 + 4x Combine like terms: -20 + -1 = -21 -2 + 6x + 3z = -21 + 4x Solving -2 + 6x + 3z = -21 + 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. -2 + 6x + -4x + 3z = -21 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x + 3z = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x + 3z = -21 + 0 -2 + 2x + 3z = -21 Add '2' to each side of the equation. -2 + 2x + 2 + 3z = -21 + 2 Reorder the terms: -2 + 2 + 2x + 3z = -21 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 3z = -21 + 2 2x + 3z = -21 + 2 Combine like terms: -21 + 2 = -19 2x + 3z = -19 Add '-3z' to each side of the equation. 2x + 3z + -3z = -19 + -3z Combine like terms: 3z + -3z = 0 2x + 0 = -19 + -3z 2x = -19 + -3z Divide each side by '2'. x = -9.5 + -1.5z Simplifying x = -9.5 + -1.5z
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