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Simplifying 7(x + -6) + 4 = 3x + -6 Reorder the terms: 7(-6 + x) + 4 = 3x + -6 (-6 * 7 + x * 7) + 4 = 3x + -6 (-42 + 7x) + 4 = 3x + -6 Reorder the terms: -42 + 4 + 7x = 3x + -6 Combine like terms: -42 + 4 = -38 -38 + 7x = 3x + -6 Reorder the terms: -38 + 7x = -6 + 3x Solving -38 + 7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -38 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x -38 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 4x = -6 + 0 -38 + 4x = -6 Add '38' to each side of the equation. -38 + 38 + 4x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -6 + 38 4x = -6 + 38 Combine like terms: -6 + 38 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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