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Simplifying x + -2(z + 1) = 2x + 3(x + -2) Reorder the terms: x + -2(1 + z) = 2x + 3(x + -2) x + (1 * -2 + z * -2) = 2x + 3(x + -2) x + (-2 + -2z) = 2x + 3(x + -2) Reorder the terms: -2 + x + -2z = 2x + 3(x + -2) Reorder the terms: -2 + x + -2z = 2x + 3(-2 + x) -2 + x + -2z = 2x + (-2 * 3 + x * 3) -2 + x + -2z = 2x + (-6 + 3x) Reorder the terms: -2 + x + -2z = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + x + -2z = -6 + 5x Solving -2 + x + -2z = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + x + -5x + -2z = -6 + 5x + -5x Combine like terms: x + -5x = -4x -2 + -4x + -2z = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x + -2z = -6 + 0 -2 + -4x + -2z = -6 Add '2' to each side of the equation. -2 + -4x + 2 + -2z = -6 + 2 Reorder the terms: -2 + 2 + -4x + -2z = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x + -2z = -6 + 2 -4x + -2z = -6 + 2 Combine like terms: -6 + 2 = -4 -4x + -2z = -4 Add '2z' to each side of the equation. -4x + -2z + 2z = -4 + 2z Combine like terms: -2z + 2z = 0 -4x + 0 = -4 + 2z -4x = -4 + 2z Divide each side by '-4'. x = 1 + -0.5z Simplifying x = 1 + -0.5z
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