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Simplifying 3(-2z + 1) + -4x = -1x + 19 Reorder the terms: 3(1 + -2z) + -4x = -1x + 19 (1 * 3 + -2z * 3) + -4x = -1x + 19 (3 + -6z) + -4x = -1x + 19 Reorder the terms: 3 + -4x + -6z = -1x + 19 Reorder the terms: 3 + -4x + -6z = 19 + -1x Solving 3 + -4x + -6z = 19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -4x + x + -6z = 19 + -1x + x Combine like terms: -4x + x = -3x 3 + -3x + -6z = 19 + -1x + x Combine like terms: -1x + x = 0 3 + -3x + -6z = 19 + 0 3 + -3x + -6z = 19 Add '-3' to each side of the equation. 3 + -3x + -3 + -6z = 19 + -3 Reorder the terms: 3 + -3 + -3x + -6z = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -3x + -6z = 19 + -3 -3x + -6z = 19 + -3 Combine like terms: 19 + -3 = 16 -3x + -6z = 16 Add '6z' to each side of the equation. -3x + -6z + 6z = 16 + 6z Combine like terms: -6z + 6z = 0 -3x + 0 = 16 + 6z -3x = 16 + 6z Divide each side by '-3'. x = -5.333333333 + -2z Simplifying x = -5.333333333 + -2z
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