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