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Simplifying 4x + 8 + -7(x + 1) = 5x + 6 Reorder the terms: 4x + 8 + -7(1 + x) = 5x + 6 4x + 8 + (1 * -7 + x * -7) = 5x + 6 4x + 8 + (-7 + -7x) = 5x + 6 Reorder the terms: 8 + -7 + 4x + -7x = 5x + 6 Combine like terms: 8 + -7 = 1 1 + 4x + -7x = 5x + 6 Combine like terms: 4x + -7x = -3x 1 + -3x = 5x + 6 Reorder the terms: 1 + -3x = 6 + 5x Solving 1 + -3x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -3x + -5x = 6 + 5x + -5x Combine like terms: -3x + -5x = -8x 1 + -8x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -8x = 6 + 0 1 + -8x = 6 Add '-1' to each side of the equation. 1 + -1 + -8x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 6 + -1 -8x = 6 + -1 Combine like terms: 6 + -1 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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