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Simplifying 15x + -70 = 3x + 29 + -10 Reorder the terms: -70 + 15x = 3x + 29 + -10 Reorder the terms: -70 + 15x = 29 + -10 + 3x Combine like terms: 29 + -10 = 19 -70 + 15x = 19 + 3x Solving -70 + 15x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -70 + 15x + -3x = 19 + 3x + -3x Combine like terms: 15x + -3x = 12x -70 + 12x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -70 + 12x = 19 + 0 -70 + 12x = 19 Add '70' to each side of the equation. -70 + 70 + 12x = 19 + 70 Combine like terms: -70 + 70 = 0 0 + 12x = 19 + 70 12x = 19 + 70 Combine like terms: 19 + 70 = 89 12x = 89 Divide each side by '12'. x = 7.416666667 Simplifying x = 7.416666667
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