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Simplifying 4x + -34 = 3(-4 + 5x) Reorder the terms: -34 + 4x = 3(-4 + 5x) -34 + 4x = (-4 * 3 + 5x * 3) -34 + 4x = (-12 + 15x) Solving -34 + 4x = -12 + 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. -34 + 4x + -15x = -12 + 15x + -15x Combine like terms: 4x + -15x = -11x -34 + -11x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -34 + -11x = -12 + 0 -34 + -11x = -12 Add '34' to each side of the equation. -34 + 34 + -11x = -12 + 34 Combine like terms: -34 + 34 = 0 0 + -11x = -12 + 34 -11x = -12 + 34 Combine like terms: -12 + 34 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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