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Simplifying -6 + 3x = 4(3 + -2x) + -7 -6 + 3x = (3 * 4 + -2x * 4) + -7 -6 + 3x = (12 + -8x) + -7 Reorder the terms: -6 + 3x = 12 + -7 + -8x Combine like terms: 12 + -7 = 5 -6 + 3x = 5 + -8x Solving -6 + 3x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 3x + 8x = 5 + -8x + 8x Combine like terms: 3x + 8x = 11x -6 + 11x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 11x = 5 + 0 -6 + 11x = 5 Add '6' to each side of the equation. -6 + 6 + 11x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 5 + 6 11x = 5 + 6 Combine like terms: 5 + 6 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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