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Simplifying 4x + 38 = 2(7x + -31) Reorder the terms: 38 + 4x = 2(7x + -31) Reorder the terms: 38 + 4x = 2(-31 + 7x) 38 + 4x = (-31 * 2 + 7x * 2) 38 + 4x = (-62 + 14x) Solving 38 + 4x = -62 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 38 + 4x + -14x = -62 + 14x + -14x Combine like terms: 4x + -14x = -10x 38 + -10x = -62 + 14x + -14x Combine like terms: 14x + -14x = 0 38 + -10x = -62 + 0 38 + -10x = -62 Add '-38' to each side of the equation. 38 + -38 + -10x = -62 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -62 + -38 -10x = -62 + -38 Combine like terms: -62 + -38 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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