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Simplifying -6x + 10 + -2z = -4x + 7 Reorder the terms: 10 + -6x + -2z = -4x + 7 Reorder the terms: 10 + -6x + -2z = 7 + -4x Solving 10 + -6x + -2z = 7 + -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. 10 + -6x + 4x + -2z = 7 + -4x + 4x Combine like terms: -6x + 4x = -2x 10 + -2x + -2z = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + -2x + -2z = 7 + 0 10 + -2x + -2z = 7 Add '-10' to each side of the equation. 10 + -2x + -10 + -2z = 7 + -10 Reorder the terms: 10 + -10 + -2x + -2z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + -2z = 7 + -10 -2x + -2z = 7 + -10 Combine like terms: 7 + -10 = -3 -2x + -2z = -3 Add '2z' to each side of the equation. -2x + -2z + 2z = -3 + 2z Combine like terms: -2z + 2z = 0 -2x + 0 = -3 + 2z -2x = -3 + 2z Divide each side by '-2'. x = 1.5 + -1z Simplifying x = 1.5 + -1z
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