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Simplifying 6(3x + -6) + 4 = 8x + 7 Reorder the terms: 6(-6 + 3x) + 4 = 8x + 7 (-6 * 6 + 3x * 6) + 4 = 8x + 7 (-36 + 18x) + 4 = 8x + 7 Reorder the terms: -36 + 4 + 18x = 8x + 7 Combine like terms: -36 + 4 = -32 -32 + 18x = 8x + 7 Reorder the terms: -32 + 18x = 7 + 8x Solving -32 + 18x = 7 + 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. -32 + 18x + -8x = 7 + 8x + -8x Combine like terms: 18x + -8x = 10x -32 + 10x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 10x = 7 + 0 -32 + 10x = 7 Add '32' to each side of the equation. -32 + 32 + 10x = 7 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 7 + 32 10x = 7 + 32 Combine like terms: 7 + 32 = 39 10x = 39 Divide each side by '10'. x = 3.9 Simplifying x = 3.9
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