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