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Simplifying 3x + 5 + -5(x + -1) = 6x + 7 Reorder the terms: 3x + 5 + -5(-1 + x) = 6x + 7 3x + 5 + (-1 * -5 + x * -5) = 6x + 7 3x + 5 + (5 + -5x) = 6x + 7 Reorder the terms: 5 + 5 + 3x + -5x = 6x + 7 Combine like terms: 5 + 5 = 10 10 + 3x + -5x = 6x + 7 Combine like terms: 3x + -5x = -2x 10 + -2x = 6x + 7 Reorder the terms: 10 + -2x = 7 + 6x Solving 10 + -2x = 7 + 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. 10 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x 10 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -8x = 7 + 0 10 + -8x = 7 Add '-10' to each side of the equation. 10 + -10 + -8x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 7 + -10 -8x = 7 + -10 Combine like terms: 7 + -10 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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