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Simplifying 3x + -6x + 10 = 4x + 38 Reorder the terms: 10 + 3x + -6x = 4x + 38 Combine like terms: 3x + -6x = -3x 10 + -3x = 4x + 38 Reorder the terms: 10 + -3x = 38 + 4x Solving 10 + -3x = 38 + 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 + -3x + -4x = 38 + 4x + -4x Combine like terms: -3x + -4x = -7x 10 + -7x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -7x = 38 + 0 10 + -7x = 38 Add '-10' to each side of the equation. 10 + -10 + -7x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 38 + -10 -7x = 38 + -10 Combine like terms: 38 + -10 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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