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Simplifying (4x + 7) + (3x + 6) = 8x + -2 Reorder the terms: (7 + 4x) + (3x + 6) = 8x + -2 Remove parenthesis around (7 + 4x) 7 + 4x + (3x + 6) = 8x + -2 Reorder the terms: 7 + 4x + (6 + 3x) = 8x + -2 Remove parenthesis around (6 + 3x) 7 + 4x + 6 + 3x = 8x + -2 Reorder the terms: 7 + 6 + 4x + 3x = 8x + -2 Combine like terms: 7 + 6 = 13 13 + 4x + 3x = 8x + -2 Combine like terms: 4x + 3x = 7x 13 + 7x = 8x + -2 Reorder the terms: 13 + 7x = -2 + 8x Solving 13 + 7x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 7x + -8x = -2 + 8x + -8x Combine like terms: 7x + -8x = -1x 13 + -1x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -1x = -2 + 0 13 + -1x = -2 Add '-13' to each side of the equation. 13 + -13 + -1x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -2 + -13 -1x = -2 + -13 Combine like terms: -2 + -13 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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