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Simplifying -6(x + -1) + -7 = 4x + 2 + -3x Reorder the terms: -6(-1 + x) + -7 = 4x + 2 + -3x (-1 * -6 + x * -6) + -7 = 4x + 2 + -3x (6 + -6x) + -7 = 4x + 2 + -3x Reorder the terms: 6 + -7 + -6x = 4x + 2 + -3x Combine like terms: 6 + -7 = -1 -1 + -6x = 4x + 2 + -3x Reorder the terms: -1 + -6x = 2 + 4x + -3x Combine like terms: 4x + -3x = 1x -1 + -6x = 2 + 1x Solving -1 + -6x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -6x + -1x = 2 + 1x + -1x Combine like terms: -6x + -1x = -7x -1 + -7x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -7x = 2 + 0 -1 + -7x = 2 Add '1' to each side of the equation. -1 + 1 + -7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 2 + 1 -7x = 2 + 1 Combine like terms: 2 + 1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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