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Simplifying 6x + 16 = 15x + -38 Reorder the terms: 16 + 6x = 15x + -38 Reorder the terms: 16 + 6x = -38 + 15x Solving 16 + 6x = -38 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 6x + -15x = -38 + 15x + -15x Combine like terms: 6x + -15x = -9x 16 + -9x = -38 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -9x = -38 + 0 16 + -9x = -38 Add '-16' to each side of the equation. 16 + -16 + -9x = -38 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = -38 + -16 -9x = -38 + -16 Combine like terms: -38 + -16 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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