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Simplifying 5x + 5 + -3(x + 1) = 8x + 7 Reorder the terms: 5x + 5 + -3(1 + x) = 8x + 7 5x + 5 + (1 * -3 + x * -3) = 8x + 7 5x + 5 + (-3 + -3x) = 8x + 7 Reorder the terms: 5 + -3 + 5x + -3x = 8x + 7 Combine like terms: 5 + -3 = 2 2 + 5x + -3x = 8x + 7 Combine like terms: 5x + -3x = 2x 2 + 2x = 8x + 7 Reorder the terms: 2 + 2x = 7 + 8x Solving 2 + 2x = 7 + 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. 2 + 2x + -8x = 7 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -6x = 7 + 0 2 + -6x = 7 Add '-2' to each side of the equation. 2 + -2 + -6x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 7 + -2 -6x = 7 + -2 Combine like terms: 7 + -2 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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