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Simplifying 4x + 6 + 2x + 5 = 7x + -8 Reorder the terms: 6 + 5 + 4x + 2x = 7x + -8 Combine like terms: 6 + 5 = 11 11 + 4x + 2x = 7x + -8 Combine like terms: 4x + 2x = 6x 11 + 6x = 7x + -8 Reorder the terms: 11 + 6x = -8 + 7x Solving 11 + 6x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 6x + -7x = -8 + 7x + -7x Combine like terms: 6x + -7x = -1x 11 + -1x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -1x = -8 + 0 11 + -1x = -8 Add '-11' to each side of the equation. 11 + -11 + -1x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -8 + -11 -1x = -8 + -11 Combine like terms: -8 + -11 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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