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Simplifying 7 + -2x + 1 = 6x + -15 Reorder the terms: 7 + 1 + -2x = 6x + -15 Combine like terms: 7 + 1 = 8 8 + -2x = 6x + -15 Reorder the terms: 8 + -2x = -15 + 6x Solving 8 + -2x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -2x + -6x = -15 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = -15 + 0 8 + -8x = -15 Add '-8' to each side of the equation. 8 + -8 + -8x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -15 + -8 -8x = -15 + -8 Combine like terms: -15 + -8 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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