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Simplifying 5x + -4 + -1(3x + -1) = -6x + -7 Reorder the terms: 5x + -4 + -1(-1 + 3x) = -6x + -7 5x + -4 + (-1 * -1 + 3x * -1) = -6x + -7 5x + -4 + (1 + -3x) = -6x + -7 Reorder the terms: -4 + 1 + 5x + -3x = -6x + -7 Combine like terms: -4 + 1 = -3 -3 + 5x + -3x = -6x + -7 Combine like terms: 5x + -3x = 2x -3 + 2x = -6x + -7 Reorder the terms: -3 + 2x = -7 + -6x Solving -3 + 2x = -7 + -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 = -7 + -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = -7 + 0 -3 + 8x = -7 Add '3' to each side of the equation. -3 + 3 + 8x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -7 + 3 8x = -7 + 3 Combine like terms: -7 + 3 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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