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Simplifying 4x + 7 + 5x = 15x + -4x + 1 Reorder the terms: 7 + 4x + 5x = 15x + -4x + 1 Combine like terms: 4x + 5x = 9x 7 + 9x = 15x + -4x + 1 Reorder the terms: 7 + 9x = 1 + 15x + -4x Combine like terms: 15x + -4x = 11x 7 + 9x = 1 + 11x Solving 7 + 9x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 9x + -11x = 1 + 11x + -11x Combine like terms: 9x + -11x = -2x 7 + -2x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -2x = 1 + 0 7 + -2x = 1 Add '-7' to each side of the equation. 7 + -7 + -2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 1 + -7 -2x = 1 + -7 Combine like terms: 1 + -7 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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