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Simplifying 5x + 8 + -7(x + 1) = 6x + 4 Reorder the terms: 5x + 8 + -7(1 + x) = 6x + 4 5x + 8 + (1 * -7 + x * -7) = 6x + 4 5x + 8 + (-7 + -7x) = 6x + 4 Reorder the terms: 8 + -7 + 5x + -7x = 6x + 4 Combine like terms: 8 + -7 = 1 1 + 5x + -7x = 6x + 4 Combine like terms: 5x + -7x = -2x 1 + -2x = 6x + 4 Reorder the terms: 1 + -2x = 4 + 6x Solving 1 + -2x = 4 + 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. 1 + -2x + -6x = 4 + 6x + -6x Combine like terms: -2x + -6x = -8x 1 + -8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -8x = 4 + 0 1 + -8x = 4 Add '-1' to each side of the equation. 1 + -1 + -8x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 4 + -1 -8x = 4 + -1 Combine like terms: 4 + -1 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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