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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 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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