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Simplifying 5x + 36 + 6x + -2 = 7x + 19 + 8x + -1 Reorder the terms: 36 + -2 + 5x + 6x = 7x + 19 + 8x + -1 Combine like terms: 36 + -2 = 34 34 + 5x + 6x = 7x + 19 + 8x + -1 Combine like terms: 5x + 6x = 11x 34 + 11x = 7x + 19 + 8x + -1 Reorder the terms: 34 + 11x = 19 + -1 + 7x + 8x Combine like terms: 19 + -1 = 18 34 + 11x = 18 + 7x + 8x Combine like terms: 7x + 8x = 15x 34 + 11x = 18 + 15x Solving 34 + 11x = 18 + 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 + 11x + -15x = 18 + 15x + -15x Combine like terms: 11x + -15x = -4x 34 + -4x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 34 + -4x = 18 + 0 34 + -4x = 18 Add '-34' to each side of the equation. 34 + -34 + -4x = 18 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 18 + -34 -4x = 18 + -34 Combine like terms: 18 + -34 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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