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Simplifying 6x + -13 = 15x + -40 Reorder the terms: -13 + 6x = 15x + -40 Reorder the terms: -13 + 6x = -40 + 15x Solving -13 + 6x = -40 + 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. -13 + 6x + -15x = -40 + 15x + -15x Combine like terms: 6x + -15x = -9x -13 + -9x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 -13 + -9x = -40 + 0 -13 + -9x = -40 Add '13' to each side of the equation. -13 + 13 + -9x = -40 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = -40 + 13 -9x = -40 + 13 Combine like terms: -40 + 13 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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