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Simplifying 5x + -5 + -4(x + 1) = 4x + -7 Reorder the terms: 5x + -5 + -4(1 + x) = 4x + -7 5x + -5 + (1 * -4 + x * -4) = 4x + -7 5x + -5 + (-4 + -4x) = 4x + -7 Reorder the terms: -5 + -4 + 5x + -4x = 4x + -7 Combine like terms: -5 + -4 = -9 -9 + 5x + -4x = 4x + -7 Combine like terms: 5x + -4x = 1x -9 + 1x = 4x + -7 Reorder the terms: -9 + 1x = -7 + 4x Solving -9 + 1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x -9 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -3x = -7 + 0 -9 + -3x = -7 Add '9' to each side of the equation. -9 + 9 + -3x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -7 + 9 -3x = -7 + 9 Combine like terms: -7 + 9 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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