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Simplifying (4x + -5) + (x + 6) = 7x + -10 Reorder the terms: (-5 + 4x) + (x + 6) = 7x + -10 Remove parenthesis around (-5 + 4x) -5 + 4x + (x + 6) = 7x + -10 Reorder the terms: -5 + 4x + (6 + x) = 7x + -10 Remove parenthesis around (6 + x) -5 + 4x + 6 + x = 7x + -10 Reorder the terms: -5 + 6 + 4x + x = 7x + -10 Combine like terms: -5 + 6 = 1 1 + 4x + x = 7x + -10 Combine like terms: 4x + x = 5x 1 + 5x = 7x + -10 Reorder the terms: 1 + 5x = -10 + 7x Solving 1 + 5x = -10 + 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. 1 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x 1 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -2x = -10 + 0 1 + -2x = -10 Add '-1' to each side of the equation. 1 + -1 + -2x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -10 + -1 -2x = -10 + -1 Combine like terms: -10 + -1 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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