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Simplifying 4x + 10 = 15x + 5 + (-5) + 35 Reorder the terms: 10 + 4x = 15x + 5 + (-5) + 35 10 + 4x = 15x + 5 + -5 + 35 Reorder the terms: 10 + 4x = 5 + -5 + 35 + 15x Combine like terms: 5 + -5 = 0 10 + 4x = 0 + 35 + 15x 10 + 4x = 35 + 15x Solving 10 + 4x = 35 + 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. 10 + 4x + -15x = 35 + 15x + -15x Combine like terms: 4x + -15x = -11x 10 + -11x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -11x = 35 + 0 10 + -11x = 35 Add '-10' to each side of the equation. 10 + -10 + -11x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 35 + -10 -11x = 35 + -10 Combine like terms: 35 + -10 = 25 -11x = 25 Divide each side by '-11'. x = -2.272727273 Simplifying x = -2.272727273
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