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Simplifying 8 + 2x + -1x + 7 = 4x + -1x + 2 Reorder the terms: 8 + 7 + 2x + -1x = 4x + -1x + 2 Combine like terms: 8 + 7 = 15 15 + 2x + -1x = 4x + -1x + 2 Combine like terms: 2x + -1x = 1x 15 + 1x = 4x + -1x + 2 Reorder the terms: 15 + 1x = 2 + 4x + -1x Combine like terms: 4x + -1x = 3x 15 + 1x = 2 + 3x Solving 15 + 1x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 1x + -3x = 2 + 3x + -3x Combine like terms: 1x + -3x = -2x 15 + -2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -2x = 2 + 0 15 + -2x = 2 Add '-15' to each side of the equation. 15 + -15 + -2x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 2 + -15 -2x = 2 + -15 Combine like terms: 2 + -15 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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