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Simplifying 5x + 4 + -7(x + 1) = 6x + 4 Reorder the terms: 5x + 4 + -7(1 + x) = 6x + 4 5x + 4 + (1 * -7 + x * -7) = 6x + 4 5x + 4 + (-7 + -7x) = 6x + 4 Reorder the terms: 4 + -7 + 5x + -7x = 6x + 4 Combine like terms: 4 + -7 = -3 -3 + 5x + -7x = 6x + 4 Combine like terms: 5x + -7x = -2x -3 + -2x = 6x + 4 Reorder the terms: -3 + -2x = 4 + 6x Solving -3 + -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. -3 + -2x + -6x = 4 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 4 + 0 -3 + -8x = 4 Add '3' to each side of the equation. -3 + 3 + -8x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 4 + 3 -8x = 4 + 3 Combine like terms: 4 + 3 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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