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Simplifying -2(x + 1) + -6 = 2(6x + -2) * 3 Reorder the terms: -2(1 + x) + -6 = 2(6x + -2) * 3 (1 * -2 + x * -2) + -6 = 2(6x + -2) * 3 (-2 + -2x) + -6 = 2(6x + -2) * 3 Reorder the terms: -2 + -6 + -2x = 2(6x + -2) * 3 Combine like terms: -2 + -6 = -8 -8 + -2x = 2(6x + -2) * 3 Reorder the terms: -8 + -2x = 2(-2 + 6x) * 3 Reorder the terms for easier multiplication: -8 + -2x = 2 * 3(-2 + 6x) Multiply 2 * 3 -8 + -2x = 6(-2 + 6x) -8 + -2x = (-2 * 6 + 6x * 6) -8 + -2x = (-12 + 36x) Solving -8 + -2x = -12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -8 + -2x + -36x = -12 + 36x + -36x Combine like terms: -2x + -36x = -38x -8 + -38x = -12 + 36x + -36x Combine like terms: 36x + -36x = 0 -8 + -38x = -12 + 0 -8 + -38x = -12 Add '8' to each side of the equation. -8 + 8 + -38x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -38x = -12 + 8 -38x = -12 + 8 Combine like terms: -12 + 8 = -4 -38x = -4 Divide each side by '-38'. x = 0.1052631579 Simplifying x = 0.1052631579
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