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Simplifying 15x + 152 = 38 + -4x Reorder the terms: 152 + 15x = 38 + -4x Solving 152 + 15x = 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. 152 + 15x + 4x = 38 + -4x + 4x Combine like terms: 15x + 4x = 19x 152 + 19x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 152 + 19x = 38 + 0 152 + 19x = 38 Add '-152' to each side of the equation. 152 + -152 + 19x = 38 + -152 Combine like terms: 152 + -152 = 0 0 + 19x = 38 + -152 19x = 38 + -152 Combine like terms: 38 + -152 = -114 19x = -114 Divide each side by '19'. x = -6 Simplifying x = -6
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