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Simplifying 7 + -4x + 8x + 5x = 4x + -6 + 7x + -9 Combine like terms: -4x + 8x = 4x 7 + 4x + 5x = 4x + -6 + 7x + -9 Combine like terms: 4x + 5x = 9x 7 + 9x = 4x + -6 + 7x + -9 Reorder the terms: 7 + 9x = -6 + -9 + 4x + 7x Combine like terms: -6 + -9 = -15 7 + 9x = -15 + 4x + 7x Combine like terms: 4x + 7x = 11x 7 + 9x = -15 + 11x Solving 7 + 9x = -15 + 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 = -15 + 11x + -11x Combine like terms: 9x + -11x = -2x 7 + -2x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -2x = -15 + 0 7 + -2x = -15 Add '-7' to each side of the equation. 7 + -7 + -2x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -15 + -7 -2x = -15 + -7 Combine like terms: -15 + -7 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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